Science field: PHYSICS - UniBuc

Universitatea din București

Facultatea de Fizică

Str. Atomiștilor nr. 405 Măgurele, Ilfov, 077125

CP MG-11 http://www.fizica.unibuc.ro

Science field: PHYSICS

Master Program: THEORETICAL AND COMPUTATIONAL

PHYSICS

Type of studies: full-time

Duration: 2 years (4 semesters)/120 ECTS

2

Courses sheets

Ob.401 Advanced quantum mechanics. Quantum statistical physics

Name Advanced quantum

mechanics. Quantum

statistical physics

Code Ob.401

Year of study I Semester 1 Assessment (E/V/C) E Formative category:

A = thoroughgoing study type course; S = integration/synthesis type course

A

Type{Ob – compulsory, Op- elective, F – optional} Ob ECTS 6 Total hours in curriculum 56 Total hours for

individual study

94 Total hours per

semester 150

Lecturer(s) Prof. Virgil BĂRAN, Assoc. Prof. Radu Paul LUNGU

Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,

Mathematics, Optics,

Plasma, Lasers

Main domain (sciences, art, culture)

Exact Sciences

Domain of master

program

Physics Total C S L P

Program name Theoretical and

computational physics

56 28 28

** C-lecture, S-practicals/tutorials, L-laboratory practical activity, P-scientific project Prerequisites

Required Quantum mechanics, Thermodynamics and

statistical physics

Recommended

Algebra, Geometry and differential equations,

Equations of mathematical physics

Estimated time (hours per semester) for the required individual study 1. Learning by using the course notes 7 8. Preparation of presentations. 10 2. Learning by using manuals, lecture

notes, etc. 8 9. Preparation for exam 13

3. Study of indicated bibliography 10 10. Consultations 7 4. Research in library 5 11. Field research 0 5. Specific preparation for

practicals/tutorials

9 12. Internet research 10

6. Preparation of reports, small projects,

homework 10 13. Other activities… 0

7. Preparation for quizzes 5 14. Other activities…. 0 TOTAL hours of individual study (per semester) = 94

General competences (mentioned in MSc program sheet)

1.Knowledge and understanding - Understanding of peculiarities of physical properties of quantum systems and

of quantum transitions.

- Understanding of the formalism of statistical physics of quantum systems

- Ability to analyze physical phenomena based on fundamental principles

3

Specific competences

2. Explication and interpretation - ability to explain experimental results based on fundamental principles of

quantum physics;

- ability to elaborate and present scientific ideas/models.

3. Instrumental

- ability to use theoretical methods in modelling various physical systems of

interest.

4.Attitudinal

to develop an interest for the field;

to assume an ethical conduct in scientific research;

to optimally valorise one’s own potential in scientific activities.

SYLLABUS

Lecture :

Theory of time-dependent perturbations

Schrödinger, Heisenberg and interaction (Dirac) pictures of quantum mechanics.

Time evolution operator: definition, properties, Dyson perturbative expansion.

Transition amplitude. Transition probability.

Fermi’s golden rule for transition rate. Transition rate in the case of a periodic

perturbation. Principle of detailed balance. Physical interpretation.

Quantum statistical mechanics

Quantum states. Statistical (density) operator: definition and properties. Time

evolution.

Quantum entropy. Boltzmann-von Neumann formula. Physical interpretation.

Properties. Principle of maximum entropy. Equilibrium distributions. Statistical

operator in equilibrium. Boltzmann-Gibbs formula.

Partition functions: definition and properties. Entropy in thermodynamic

equilibrium, natural variables. Equilibrium statistical ensembles. Ensemble

averages. Canonical, grand-canonical and microcanonical ensembles.

Grand-canonical partition function for systems of independent fermions. Fermi-

Dirac distribution function. Physical interpretation. Grand-canonical partition

function for systems of independent bosons. Bose-Einstein distribution function.

Physical interpretation.

Tutorials: Helium atom;

Scattering cross-section in Born’s approximation;

Theory of time-dependent perturbations: exactly soluble models, Rabi’s

oscillations.

Ideal gas of fermions: equation of state, heat capacity.

Bose-Einstein condensation; experimental observations and physical

explanation.

Photons gas; Planck’s radiation law.

Applications.

Bibliography

1. J.J. Sakurai, Modern quantum mechanics, Addison-Wesley, 1990

2. F. Schwabl, Advanced quantum mechanics, Springer 2008

3. R. Balian, From Microphysics to Macrophysics Vol. 1, 2, Springer 2006

4

4. L.D. Landau, E.E. Lifsit, Fizică Statistică, Editura Tehnică

5. K. Huang, Statistical Mechanics, John Wiley & sons, 1987

6. Lecture notes available on

http://www.unibuc.ro/prof/baran_v/ Necessary scientific

infrastructure

- PC workstations, CC computer cluster

Final mark is given by: Weight, in %

{Total=100%}

- final exam results 55%

- hands-on lab test&quiz 0%

- results to periodic tests/quizzes 10%

- results to mid-term examination (oral, optional) 10%

- scientific reports, symposium etc 25%

- other activities (to be specified) ………………… 0%

Final evaluation methods, E/V. { ex: Written test, Oral examination on topics covered by

lectures, Individual Colloquium, or Group Project, etc.}.

Written exam

Minimal requirements for mark 5 ( 10 point scale)

Requirements for mark 10

(10 point scale)

Correct solutions to indicated subjects (for

mark 5) in final exam

Average results to periodic/continuous

testing.

Correct solutions to all subjects in final exam.

Correct solutions to homework problems.

Successful presentations of scientific reports.

Good results to periodic/continuous testing.

Date Lecturer(s) signature(s)

June 20, 2014 Professor Virgil BĂRAN,

Associate Professor Radu Paul LUNGU

5

Ob.402 Solid state physics II Name Solid state physics II Code Ob.402



A


individual study

94 Total hours per

semester 150

Teacher(s) Prof. Daniela DRAGOMAN

Faculty Physics Total hours per semester in curriculum Department Electricity, Solid State

Physics and Biophysics


Exact Sciences

Domain of master

program




56 28 28



statistical physics, Solid state physics I

Recommended

Equations of mathematical physics, Electronics

Estimated time (hours per semester) for the required individual study 1. Learning by using one’s own course notes 10 8. Preparation of presentations. 6 2. Learning by using manuals, lecture notes 8 9. Preparation for exam 10 3. Study of indicated bibliography 10 10. Consultations 7 4. Research in library 5 11. Field research 0 5. Specific preparation for practicals/tutorials 10 12. Internet research 10 6. Preparation of reports, small projects,




1.Knowledge and understanding - Knowledge and understanding of charge transport phenomena in solids.

- Understanding physical phenomena at metal-semiconductor contacts

- Ability to use appropriate mathematical and numerical models in modelling

physical phenomena

2. Explication and interpretation - ability to explain experimental results based on fundamental principles of

quantum physics;

- ability to elaborate and present scientific ideas/models.

6


3. Instrumental

- Ability to analyze and understand relevant experimental data and to derive

rigorous conclusions

- Ability to use theoretical methods in modelling various physical systems of

interest.

4.Attitudinal


to realize the importance of the field of solid state physics in modern physics



SYLLABUS

Lecture :

Charge transport in bulk crystals. Transport coefficients.

Boltzmann’s formalism for transport.

Relaxation time approximation.

Scattering mechanisms. Elastic and inelastic scattering of free charge carriers.

Expressions of the relaxation time for various scattering mechanisms.

Galvanomagnetic, thermoelectric and thermomagnetic effects. Expressions of

transport coefficients.

Physics of metal-semiconductor contacts.

Peculiarities of charge transport in mesoscopic structures. Quantum effects in

low dimensional systems.

.

Tutorials : Electrical conductivity in various materials in various temperature and doping

regimes.

Electrical conduction in magnetic fields.

Electrical conduction in thin films. Surface effects.

Ballistic charge transport.

Transfer matrix and scattering matrix method in evaluating the transmission

coefficient.

Bibliography

1. S.S. Li, Semiconductor Physical Electronics, 2nd edition, Springer, 2006

2. I. Licea, Fizica starii solide, Editura Univ. Bucuresti, 1990

3. M. Dragoman, D. Dragoman – Nanoelectronics: Principles and Devices,

Artech House, 2nd edition, Boston, U.S.A., 2009

4. Lecture notes available on

http://www.unibuc.ro/prof/dragoman_d/ Necessary scientific

infrastructure

- PC workstations, CC computer cluster


{Total=100%}







7



Written exam



(10 point scale)




testing.






June 20, 2014 Professor Daniela DRAGOMAN,

8

Ob.403 Modern computational methods in physics

Name Modern computational

methods in physics

Code Ob.403



A


individual study

69 Total hours per

semester 125

Teacher(s) Prof. Doru ȘTEFĂNESCU, Lect. Roxana ZUS Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,


Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 6 22


Required Programming languages, Physical Data

Processing and Numerical Methods, Algebra,

Geometry and Differential Equations, Equations

of mathematical physics Recommended

Analytical mechanics, Quantum mechanics,

Thermodynamics and statistical physics

Estimated time (hours per semester) for the required individual study 1. Learning by using one’s own course notes 8 8. Preparation of presentations. 5

2. Learning by using manuals, lecture notes 6 9. Preparation for exam 8

3. Study of indicated bibliography 5 10. Consultations 6

4. Research in library 5 11. Field research

5. Specific preparation for practicals/tutorials 5 12. Internet research 6


homework 10 13. Other activities…

7. Preparation for quizzes 5 14. Other activities….

TOTAL hours of individual study (per semester) = 69


9


1.Knowledge and understanding - Knowledge and understanding of numerical methods appropriate for the study

of physical systems

- Developing computational abilities

- Developing abilities to apply appropriate numerical methods for modelling

physical systems

- Ability to analyze and interpret relevant numerical results and to formulate

rigorous conclusions 2. Explication and interpretation - Ability to elaborate and present scientific ideas/models.

- Ability analyze data based on physical models

3. Instrumental

- Ability to use theoretical/ numerical models in solving physical problems of

interest and in interpreting experimental data.

4.Attitudinal


to realize the importance of the field in modern physics



SYLLABUS

Lecture :

Fundamental numerical methods in physics

Numerical solution of Linear an Non-Linear Algebraic Equations;

Numerical methods for eigenvalue and eigenvector problems with boundary

conditions (Numerov algorithm, Green functions, power method, Householder

method, QR algorithm etc.);

Fourier transform;

Numerical Solution of Ordinary Differential Equations (Runge-Kutta methods,

ODE systems);

Numerical Solution of Partial Differential Equations:

Numerical Solution of Integral Equations;

Classical Non-linear systems

Stationary points; Liapunov Exponents

Correlation Functions;

Order and chaos in bidimentional movement of Hamiltonian systems;

Quantic simple systems

Models of 2 and 3 states;

2 states systems with external perturbation;

10

Density matrix; Bloch equations; Excitations by a resonant pulse.

Seminars/ Laboratory practical work : Programming and application of studied numerical methods;

Numerical solution of physical problems in a familiar programming language

(group and individual projects). Bibliography

1. William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P.

Flannery, “Numerical Recipes in C: The Art of Scientific Computing”,

Cambridge University Press, 1992

2. S.Koonin, D.C. Meredith, “Computational Physics – Fortran version”,

Westview Press, 1990

3. P.O.J.Scherer, “Computational Physics – Simulation of Classical and

Quantum Systems”, Springer-Verlag Berlin Heidelberg, 2010

4. Morten Hjorth-Jensen , “Computational Physics”, University of Oslo,

2006

5. R. Burden, J. D. Faires, "Numerical Analysis", Thomson Brooks/Cole,

2010 Necessary scientific

infrastructure

- - PC workstations

- - beamer


{Total=100%}


- hands-on lab test&quiz







A written exam on several theoretical topics and problems with different difficulty level and

the presentation of a complex project with numerical solution to a physics problem.



(10 point scale)




testing.




Date Teacher(s) signature(s) June 20, 2014

Prof. Doru ȘTEFĂNESCU, Lect. Roxana ZUS

http://www.amazon.com/exec/obidos/search-handle-url/ref=ntt_athr_dp_sr_1?%5Fencoding=UTF8&search-type=ss&index=books&field-author=William%20H.%20Press

http://www.amazon.com/exec/obidos/search-handle-url/ref=ntt_athr_dp_sr_3?%5Fencoding=UTF8&search-type=ss&index=books&field-author=Saul%20A.%20Teukolsky

http://www.amazon.com/exec/obidos/search-handle-url/ref=ntt_athr_dp_sr_4?%5Fencoding=UTF8&search-type=ss&index=books&field-author=William%20T.%20Vetterling

http://www.amazon.com/exec/obidos/search-handle-url/ref=ntt_athr_dp_sr_2?%5Fencoding=UTF8&search-type=ss&index=books&field-author=Brian%20P.%20Flannery

http://www.amazon.com/exec/obidos/search-handle-url/ref=ntt_athr_dp_sr_2?%5Fencoding=UTF8&search-type=ss&index=books&field-author=Brian%20P.%20Flannery

11

Op.I11 Introduction to quantum theory of many-body systems Name Introduction to quantum

theory of many-body systems

Code Op.I11



A

Type{Ob – compulsory, Op- elective, F – optional} Op ECTS 5 Total hours in curriculum 56 Total hours for

individual study

69 Total hours per

semester 125

Teacher(s) Prof. Virgil BĂRAN, Assoc. Prof. Radu Paul LUNGU Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,


Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 28



statistical physics, Solid state physics I Recommended






1.Knowledge and understanding - Understanding peculiarities of physical properties of quantum many-body

systems.

- Understanding occupation number representation of quantum mechanics

- Knowledge and understanding of effects related to fermionic or bosonic nature

of quantum particles

- Ability to work with theoretical methods of quantum many-body systems 2. Explication and interpretation - ability to elaborate and present scientific ideas/models.

- ability to use specific mathematical models in analyzing physical phenomena

related to many-body systems

12

Specific competences 3. Instrumental

- Ability to use theoretical models in solving physical problems of interest.

4.Attitudinal


to realize the importance of the field of solid state physics in modern physics



SYLLABUS

Lecture :

Occupation-number representation of quantum mechanics

Quantum description of many-body systems. Fock’s space.

Permutation operator. Particle exchange symmetry. Symmetry postulates for

identical quantum particle systems. Completely symmetric and antisymmetric

quantum states.

Creation and annihilation operators. Vacuum state. Fundamental algebraic

relations for fermions and bosons creation/annihilation operators.

Field operators. Definition and properties.

One-body and two-body operators.

Hartree-Fock approximation

Hartree-Fock method in occupation-number formalism.

Electron Coulomb interaction. Jellium model.

Ground state energy in the first perturbation order.

Hubbard’s model in occupation-number formalism. Physical properties

Pairing interaction and superconductivity

Experimental observations and phenomenology of superconductivity. London’s

equations.

Effective interaction between electrons and pairing Hamiltonian.

Barden-Cooper-Schriffer (BCS) model. Properties.

Bogoliubov-Valatin transformation. Quasiparticles.

Pairing equations. Properties of superconductors.

Tutorials: Fermi gas in ground state: Fermi’s sea, relationship between density and quasi-

momentum.

One-particle density matrix for fermion systems.

Pair correlation function for fermions and bosons. Definition, properties,

physical consequences.

Hartree-Fock approximation: examples. Koopmans’ theorem.

Superconductivity: constant coupling function. Ground state energy. Derivation

of gap equation. Physical interpretation. Bibliography

1. J.W. Negele, H. Orland, Quantum Many Particle Systems (Advanced Book

Program)

2. P. Nozieres, Theory of Interacting Fermi systems (Advanced Book Program)

3. J.F. Annett, Superconductivity, Superfluidity and Condensates (Oxford

University Press)

13

4. Fetter A.L. , J.D. Walecka Quantum theory of Many Particle systems

(McGraw Hill, New-York)

5. P.W. Anderson, Concepts in Solids, World Scientific, 1997

6. 6. W. Nolting, Fundamentals of many-body physics, Springer 2009. Necessary scientific

infrastructure

- PC workstations connected to CC computer cluster


{Total=100%}









Written exam



(10 point scale)




testing.


Correct solution to homework problems.


Date Teacher(s) signature(s)

June 20, 2014 Prof. Virgil BĂRAN,

Assoc. Prof. Radu Paul LUNGU

14

OpI12 Special topics in mathematical physics

Name Special topics in mathematical

physics

Code Op.I12



A


individual study

69 Total hours per

semester 125

Teacher(s) Prof. Nicolae COTFAS Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,


Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 28


Required Linear algebra, Mathematical analysis, Equations

of mathematical physics Recommended

Quantum mechanics





1.Knowledge and understanding - Knowledge and understanding of complex functions derivatives, contour

integrals and Laurent series; applications to calculus of definite integrals

- Understanding of Fourier’s transform; ability to use it in applications.

- Understanding tensor calculus.

- Knowledge and understanding of special functions and orthogonal polynomials

for use in physics problems.

- Understanding of coherent states formalism and ability to use it in physics

problems

15


2. Explication and interpretation - Ability to use mathematical models in studying physical phenomena

- Ability to choose adequate representations for mathematical objects in physics

problems

- Ability to elaborate and present scientific ideas/models.

3. Instrumental

- Ability to use mathematical methods and models in solving physical problems

of interest.

4.Attitudinal

to develop an interest for mathematical physics;

to realize the importance of the field mathematical physics in modern

physics



SYLLABUS

Lecture :

Fourier transform. Convolution product and its Fourier transform. Fourier

transform of generalized functions. Dirac’s distribution.

Discrete Fourier transform. Properties. Eigenfunctions and eigenvalues.

Fractional Fourier transform. Fast Fourier transform.

Dual Hilbert space. Tensors on finite-dimensional vector spaces. Tensor

operations. Tensor product of Hilbert spaces. Applications.

Orthogonal polynomials and special functions. Hypergeometric polynomials.

Creation and annihilation operators. Factorization method for Schrödinger

equation in quantum mechanics.

Standard coherent states and their properties. The resolution of the identity.

Generation and annihilation operators. Quantification methods.

Tutorials :

Complex functions: derivatives and contour integrals (4 hours)

Taylor and Laurent series. Residues. Examples. Calculus of definite integrals by

using residue theorem (4 hours)

Explicit calculations of Fourier transforms. Conjugate variables. Uncertainty

principle. Wigner’s function. (4 ore)

Calculation of discrete Fourier transforms. Quantum systems with finite

dimensional Hilbert space. Density operators.. Qubits and qutrits (4 ore)

Fourier transform: eigenvectors and eigenvalues. Properties of fractional Fourier

transform. Time evolution of harmonic oscillator. (2 ore).

Tensor calculus. Tensor products. (2 ore).

Legendre’s polynomials and associated functions. Laguerre’s polynomials.

Hermite’s polynomials. Factorization method. Exactly solvable Schrodinger

equations. (4 ore).

Frames and orthonormal bases. The resolution of identity. Systems of coherent

states. Quantification based on systems of coherent states or frames. (4 ore)

16

Bibliography

1. R. J. Beerends et al., Fourier and Laplace Transforms, Cambridge

University Press, 2003

2. J. F. James, A Student’s Guide to Fourier Transforms, Cambridge

University Press, 2011

3. P. Hamburg, P. Mocanu, N Negoescu, Analiza Matematica (Functii

Complexe), EDP, Bucuresti 1982

4. G. Mocica, Probleme de Functii Speciale, EDP, 1988

5. V. S. Vladimirov, Ecuatiile Fizicii Matematice, ESE, 1980

6. G. Teschl, Mathematical Methods in Quantum Mechanics with

Applications to Schrodinger Operators, AMS 2009 7. A. Perelomov, Generalized Coherent States and Their Applications

, Springer, Berlin, 1986

8. A. F. Nikiforov et al., Classical Orthogonal Polynomials of a

Discrete Variable, Springer-Verlag, Berlin, 1991

9. J.-P. Gazeau, Coherent States in Quantum Physics, Wiley-VCH,

Berlin, 2009

10. S. J. Gustafson and I. M. Sigal, Mathematical Concepts of

Quantum Mechanics, Springer, Berlin, 2011

11. Lecture notes available at http://fpcm5.fizica.unibuc.ro/~ncotfas/ Necessary scientific

infrastructure

- PC workstations connected to CC computer cluster


{Total=100%}









Written exam



(10 point scale)




testing.




June 20, 2014 Professor Nicolae COTFAS

17

Op.I21 Introduction to physics of mesoscopic systems

Name Introduction to physics of

mesoscopic systems

Code Op.I21



A


individual study

69 Total hours per

semester 125

Teacher(s) Assoc. Prof. Lucian ION Faculty Physics Total hours per semester in curriculum Department Electricity, Solid State



Exact Sciences

Domain of master

program




56 28 24 4


Required Quantum mechanics, Solid state physics I,

Thermodynamics and statistical physics,

Electrodynamics, Equations of mathematical

physics Recommended

Electronics, Optics



7. Preparation for quizzes 5 14. Other activities…. 0



1.Knowledge and understanding - Knowledge and understanding of physical properties of mesoscopic

systems

- Understanding of scaling theory of localization

- Understanding of quantum interference effects in mesoscopic systems

- Knowledge and understanding of Landauer-Büttiker formalism

- Ability to analyze and understand relevant experimental data and to

formulate rigorous conclusions

18


2. Explication and interpretation - Ability to use advanced mathematical models in studying physical

phenomena in mesoscopic systems


3. Instrumental

- Ability to use mathematical methods and models in solving physical

problems of interest.

- Ability to use numerical methods in modelling mesoscopic systems

- Ability to use specific experimental techniques for investigating the

structure, electrical and optical properties of mesoscopic systems. 4.Attitudinal

to develop an interest for the rapidly growing field of mesoscopic

physics;




SYLLABUS

Lecture :

Mesoscopic systems: definition and properties. Fabrication techniques.

Relevant length scales. Anderson localization. Scaling theory of localization.

Low dimensional electronic systems. Case d ≤ 2. Case d > 2. Metal-insulator

transition.

Quantum transport. Landauer-Büttiker formalism. Applications. Ballistic

transport. Adiabatic transport. Weak localization regime.

Aharonov-Bohm effect. Phase-relaxation time. Effect of electron-electron

interaction.

Coulomb blockade

Transport in magnetic fields. Shubnikov-de Haas oscillations. Integral quantum

Hall effect. Fractional quantum Hall effect.

Laboratory:

Charge transport in disordered ultra-thin films.

Photoluminescence in quasi-2D GaxAl1-xAs/GaAs structures

Tutorials :

Electron states in mesoscopic systems. Envelope function approximation.

Density of states in low dimensional electron systems. Applications.

Disorder effects in 1D electron systems.

Electron states in 2D systems in magnetic fields. Landau levels. Density of

states. Disorder effects.

Electron-phonon interaction in low-dimensional electron systems. Peierls

transition..

19

Charge transport in mesoscopic structures. R-matrix formalism.

Charge transport in quantum wires. Ab initio modelling. Bibliography

1. D.K. Ferry, S.M. Goodnick, Transport in nanostructures (Cambridge

University Press, Cambridge, UK, 1997).

2. P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).

3. H. Bouchiat, Y. Gefen, S. Gueron, G. Montambaux, J. Dalibard (Eds.),

Nanophysics: Coherence and Transport (Elsevier, Amsterdam,

Netherland, 2005).

4. S. Datta, Electronic transport in mesoscopic systems (Cambridge

University Press, Cambridge, UK, 1997)

5. Lecture notes available at http://solid.fizica.unibuc.ro/cursuri/

Necessary scientific

infrastructure

- - Experimental setups in Laboratory for electrical and optical characterization

of materials, Materials and Devices for Electronics and Optoelectronics

Research Center;

- - PC workstations connected to HPC computer cluster


{Total=100%}









Written exam



(10 point scale)




testing.




Date: Teacher(s) signature(s)

June 20, 2014 Assoc. Prof. Lucian ION

20

Op.I22 Linear response theory

Name Linear response theory Code Op.I22



A


individual study

69 Total hours per

semester 125

Teacher(s) Assoc. Prof. Lucian ION, Lecturer George Alexandru NEMNEȘ Faculty Physics Total hours per semester in curriculum Department Electricity, Solid State



Exact Sciences

Domain of master

program




56 28 28




Electrodynamics Recommended

Electronics, Optics





1.Knowledge and understanding - Knowledge and understanding of physics of linear response of a system to

an external perturbation

- Understanding the properties of the linear response function, generalized

susceptibility and correlation functions

- Knowledge and understanding of fluctuation-dissipation theorem

- Ability to analyze and understand relevant experimental data and to

formulate rigorous conclusions

21


2. Explication and interpretation - Ability to use theoretical models in studying various physical (electrical,

optical, etc.) phenomena related to linear response


3. Instrumental



- Ability to use theoretical results and methods in interpreting experimental

data (electrical, optical, etc.).

4.Attitudinal

to develop an interest for the field of linear response in physics;




SYLLABUS

Lecture :

- Thermodynamics of non-equilibrium processes.

- Thermodynamic forces and fluxes.

- Linear response. Onsager’s equations. Applications: thermoeletrical effects

- Kubo’s quantum theory of linear response.

- Linear response function: definition, derivation and properties.

- Correlation functions.

- Generalized susceptibility.

- Kramers-Krönig relations. Dissipation phenomena. Relaxation phenomena.

- Fluctuation-dissipation theorem. Physical consequences.

- Quantum transport. Kubo’s formula. Kubo-Greenwood formula. Green’s

functions.

Seminar :

- Electrical conductivity of disordered electron systems.

- Susceptibility of electron gas. Approximations.

- Dynamical structure factor

- Dielectric relaxation. Models and approximations.

- Optical density of states. Critical points of energy bands in crystalline

semiconductors.

- Magnetic response. Magnetic resonance.

Bibliography

1. R. Kubo, M. Toda, N. Hashitsume, Statistical Physics II (Springer Verlag,

Berlin, 1985).

2. L.D. Landau, E.M. Lifșiț, Fizica statistică (Editura Tehnică, București,

1988).

3. U. Balucani, M. Howard-Lee, V. Tognetto, Dynamical correlations, Phys.

Rep. 373, 409 (2003).

4. Lecture notes available at http://solid.fizica.unibuc.ro/cursuri/ Necessary scientific

infrastructure

- - PC workstations connected to HPC-FSC computer cluster


22

{Total=100%}









Written exam



(10 point scale)




testing.




Date Teacher(s) signature(s) June 20, 2014 Assoc. Prof. Lucian ION

Lect. George Alexandru NEMNEȘ

23

Op.I23 Transport phenomena in disordered materials

Name Transport phenomena in

disordered materials

Code Op.I23



A


individual study

69 Total hours per

semester 125

Teacher(s) Assoc. Prof. Lucian ION, Prof. Ștefan ANTOHE Faculty Physics Total hours per semester in curriculum Department Electricity, Solid State



Exact Sciences

Domain of master

program




56 28 14 14



Electricity and magnetism, Electrodynamics Recommended

Electronics, Thermodynamics and statistical

physics





1.Knowledge and understanding - Understanding peculiarities of electron states in disordered materials

- Knowledge and understanding of peculiarities of transport phenomena in

disordered conductors

- Ability to analyze and understand relevant experimental data and to formulate


- Ability to critically analyze and compare various physical phenomena related

to charge transport

24


2. Explication and interpretation - Ability to use theoretical models in studying the charge transport


3. Instrumental


of interest.

- Ability to use appropriate experimental techniques in studying transport

properties

- Ability to use theoretical results and methods in interpreting experimental data

(electrical, optical, etc.).

4.Attitudinal

to develop an interest for the field of linear response in physics;




SYLLABUS

Lecture :

Localization of electron states in solids: structure of isolated impurity states;

localization in Lifschitz’s model; structure of impurity bands in weakly doped

semiconductors; structure of impurity bands in heavily doped semiconductors.

Hopping transport mechanism: experimental results; Miller-Abrahams model;

percolation models; nearest neighbour hopping mechanism; influence of

impurity centers density; activation energy; variable range hopping mechanism

(Mott). Peculiarities of charge transport in organic semiconductors.

Transport mechanisms in super-ohmic regime: space charge limited currents

theory; exactly solvable models; case of a single impurity level; case of a

impurity band with constant density of states; case of an impurity band with

exponential density of states.

Laboratory practical works:

Charge transport in polycrystalline and amorphous semiconductor thin films

Charge transport in organic semiconductors

Influence of metal-semiconductor contacts in transport

Transport in space charge limited currents regime

Tutorials :

Shallow impurity levels in semiconductors. Non-degenerate energy bands.

Degenerate energy bands. Asymptotic behaviour of impurity states. Percolation

theory. Structure of critical cluster. Numerical models for determining the

percolation threshold. Lattice models.

Hopping transport in magnetic fields. Magnetic field dependence of

25

magnetoresistance.

Coulomb gap. Shklovskii-Efros model.

Bibliography

1. B.I. Shklovskii, A.L.Efros, Electronic properties of doped semiconductors

(Springer, Heidelberg, 1984).

2. S. Antohe, Fizica semiconductorilor organici (Editura Universității din

București, București, 1997).

5. N.F. Mott, E.A. Davis, Electron processes in non-crystalline materials

(Clarendon Press, Oxford, 1979). Necessary scientific

infrastructure

- - Experimental setups in Laboratory for electrical and optical characterizations



{Total=100%}









Written exam



(10 point scale)




testing.





June 20, 2014 Professor Ștefan ANTOHE,

Assoc. Prof. Lucian ION

26

Ob.406 Theory of nuclear systems and photonuclear reactions

Name Theory of nuclear systems

and photonuclear reactions

Code Ob.406



A


individual study

94 Total hours per

semester 150

Lecturer(s) Prof. Virgil BĂRAN, Lect. Mădălina BOCA

Faculty Physics Total hours per semester in

curriculum Department Theoretical Physics,


Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 22 6

** C-lecture, S-practicals/tutorials, L-laboratory practical activity, P-scientific project

Prerequisites

Required Quantum mechanics, Quantum theory of

systems of identical particles, Electrodynamics

Recommended


Estimated time (hours per semester) for the required individual study 1. Study using the course notes 10 8. Preparation of presentations. 5 2. Study using manuals, lecture notes,

etc. 8 9. Preparation for exam 15

3. Study of indicated bibliography 10 10. Consultations 7 4. Research in library 5 11. Field research 5. Specific preparation for





7. Preparation for quizzes 5 14. Other activities…. TOTAL hours of individual study (per semester) = 94


1.Knowledge and understanding - Knowledge and understanding of basic principles

- Ability to critically analyse and compare various physical phenomena

- Ability to solve problems

27


2. Explication and interpretation - Ability to elaborate and present scientific ideas/models.

3. Instrumental



- Ability to use numerical methods in modelling physical phenomena

4.Attitudinal





SYLLABUS

Lecture :

Fundamental properties of nucleon-nucleon interaction. The origin of nuclear

interactions, properties of the nuclear forces as derived from experimental

observations. The nuclear matter, saturation properties. Nuclear models. Observables of interest in nuclear physics. The nuclear

motions. The shell model, the collective liquid drop model, interacting bosons

models.

Microscopic methods for describing the quantum states of nuclear systems:

Hartree-Fock (HF), Bardeen-Cooper Schriefer (BCS), Random-Phase

Approximation (RPA).

Electromagnetic transitions in nuclear physics.

The interaction between electromagnetic field and nucleus. Multipole

moments. Multipole electromagnetic transitions, reduced transition

probabilities. One particle matrix elements in a spherical basis set, Weisskopf

units. The giant dipole resonance and the cross section of absorption of dipole

radiation. Summation rules.

Fundamentals of nuclear astrophysics.

Elements of stellar structure, supernova explosion, properties of neutron stars,

stellar nucleosynthesis, elements abundance. Theoretical basis of nuclear

astronomy and cosmology.

Seminars : Study of the effect of different properties of nuclear forces, applications of

nuclear models in explaining physical observables; detailed calculation on the

collective and one-particle dynamics in several microscopic approaches.

Estimations of transition rates in different models. Study of some properties

of astrophysical objects (neutron stars, white dwarfs)

28

Bibliography

J.L. Basdevant, J Rich, M. Spiro, Fundamentals in nuclear physics,

Springer, 2005.

W. Greiner, J.A. Maruhn, Nuclear Models, Springer, 1996.

J.Eisenberg and W. Greiner, Nuclear models, vol. 1, 3

P.Ring and P. Schuck, Nuclear many body problem, Springer, 2004.


infrastructure

- PC systems connected to the TCC cluster


{Total=100%}





- scientific reports, symposium etc

- other activities (to be specified) …………………



A written exam on several theoretical topics and problems with different difficulty level.



(10 point scale)

Correct solutions to indicated subjects

(for mark 5) in final exam

Average results to continuous testing.


Correct solutions to all subjects in final

exam.



Good results to periodic testing.

Good results to continuous testing.


June 20, 2014 Prof. Virgil BĂRAN, Lect. Mădălina BOCA

29

Ob.407 Physics and technology of organic materials for electronics and optoelectronics

Name Physics and technology of

organic materials for

electronics and

optoelectronics

Code Ob.407



S


individual study

94 Total hours per

semester 150

Teacher(s) Prof. Ștefan ANTOHE, Lect. Sorina IFTIMIE Faculty Physics Total hours per semester in curriculum Department Electricity, Solid State



Exact Sciences

Domain of master

program




56 28 28



Electricity and magnetism, Electrodynamics Recommended

Electronics, Thermodynamics and statistical

physics, Optics





1.Knowledge and understanding - Understanding peculiarities of electron states in organic semiconductors

- Knowledge and understanding of peculiarities of transport and optical

phenomena in organic semiconductors

- Ability to analyze and understand relevant experimental data and to formulate


- Ability to critically analyze and compare various physical phenomena

30


2. Explication and interpretation - Ability to use appropriate theoretical models in studying transport and optical

properties of organic semiconductors


3. Instrumental


of interest.

- Ability to use appropriate experimental techniques in studying transport and

optical properties

- Ability to use theoretical results and methods in interpreting experimental data

(electrical, optical, etc.).

4.Attitudinal

to develop an interest for the field of physics of organic semiconductors;




SYLLABUS

Lecture : Structural properties of organic semiconductors: small molecules organic

semiconductors; aromatic hydrocarbon ; organic dyes; donor-acceptor

complexes; semiconducting polymers; correlations between chemical

structure and semiconducting properties.

Crystalline structure of organic semiconductors: structure of small

molecular weight organic solids; structure of large molecular weight organic

solids; point-like defects; diffusion in organic solids; diffusion mechanisms;

methods for determining the diffusion coefficient; doping of organic

semiconductors.

Electron structure of organic solids: intermolecular interactions in organic

solids; molecular orbitals; molecular excited states; band structure of

molecular crystals; Le Blanc’s model; Katz-Rice-Chois-Jortner model.

Energy transfer in organic solids: excitons in organic solids; Mott-Wannier

excitons; Frenkel excitons; exciton diffusion; exciton triplets; influence of

lattice defects on exciton diffusion; polarons in molecular crystals.

Charge transport in organic solids: transport mechanisms of in organic

solids; tunnel effect; hopping mechanism; band transport mechanism;

activation energy; anisotropy of conductivity; influence of pressure on dark

conductivity of organic solids.

Laboratory practical works : 1.Preparation methods for organic thin films

2. Methods for determining the thickness of organic thin films

3. Structural characterization of organic thin films by X-ray diffraction

4. Surface morphology characterization by atomic force microscopy (AFM)

5. Optical absorption, reflection and transmission spectra of organic

semiconductor thin films in NIR-Vis-UV

31

6. Super-ohmic effects in organic semiconductor thin films

Bibliography

3. S. Antohe, Fizica semiconductorilor organici (Editura Universității din

București, București, 1997).

4. S. Antohe, Electronic and Optoelectronic Devices Based on Organic

Thin Films, in Handbook of Organic Electronics and Photonics:

Electronic Materials and Devices, H. Singh-Nalwa (Ed.) (American

Scientific Publishers, Los Angeles, California, USA, 2006), vol 1.

5. N.F. Mott, E.A. Davis, Electron processes in non-crystalline materials

(Clarendon Press, Oxford, 1979).

6. H. Meier, Organic Semiconductors. Dark and Photoconductivity of

Organic Solids (Verlag Chemie, Weinheim, 1974).

7. F. Gutman and L. E. Lyons, Organic Semiconductors (Wiley, New

York, 1967).

8. J. Kommandeur, in “Physics and Chemistry of the Organic Solids”

(eds. D. Fox, M. M. Labes and A. Weissberger) (Wiley Interscience

New York, 1965), cap.2, pp. 1-66.

9. W. Helfrich, Physics and Chemistry of the Organic Solid State,

(Wiley Interscience, New York, 1967). Necessary scientific

infrastructure

- - Experimental setups in Laboratory for electrical and optical characterizations



{Total=100%}









Written exam



(10 point scale)




testing.





June 20, 2014 Professor Ștefan ANTOHE,

32

Lect. Sorina IFTIMIE

Ob.408 Relativistic quantum mechanics

Name Relativistic quantum

mechanics

Code Ob.408



A


individual study

69 Total hours per

semester 125

Teacher(s) Assoc. Prof. Mihai DONDERA, Lect. Cristian STOICA



Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 28


Prerequisites

Required Quantum mechanics, Electrodynamics

Recommended

Equations of Mathematical Physics









TOTAL hours of individual study (per semester) = 69 General competences (mentioned in MSc program sheet)

33


1.Knowledge and understanding - Understanding the formalism of relativistic quantum mechanics

- Understanding the properties of Dirac equation solutions

- Understanding the physical implications of the mathematical properties of

Dirac equation solutions (spin, the positron existence)

- Developing the capability to analyse and compare diverse phenomena, starting

from basic principles

- Obtaining a good theoretical understanding of the studied problems

- Developing the capability to use the theoretical knowledge to describe some

physical systems

2. Explication and interpretation - Ability to elaborate and present scientific subjects, rigorously sustained

- Formation of the capacity to build mathematical models of the phenomena of

physics

3. Instrumental

- One follows the formation of the capacity to use the theoretical knowledge

in order to solve practical problems and to model phenomena

4.Attitudinal

□to develop an interest for the field of relativistic processes

□to realize the importance of the field in modern physics

□to assume an ethical conduct in scientific research;

□to optimally put in value one’s own potential in scientific activities.

SYLLABUS

Lecture :

Dirac equation. Bispinors. Dirac matrices and their properties. The Pauli

theorem. The relativistic invariance of Dirac equation.

Lorentz transformations; the transformation of the solutions of Dirac equation.

Continuous transformations (rotations, special Lorentz transformations) and

discrete transformations (spatial and temporal inversion)

Bilinear covariants of Dirac bispinors. Representations of Dirac matrices.

Calculation of the traces.

Basic solutions of Dirac equation for the free particle. Plane waves. Positive

and negative frequencies. Spin ½. Projection operators. The helicity.

Charge conjugation. Transformation of characteristic quantities to charge

conjugation. The reinterpretation of the negative frequency states. The positron.

Seminar:

The interaction of the Dirac particle with the external electromagnetic field. The

electron in homogeneous static magnetic field. The electron in the field of the

34

plane wave. Volkov solutions; properties.

The electron in a central field. The hydrogenic atom. The non-relativistic limit.

The discrete spectrum. The relativistic hydrogenic wave functions. The

continuum spectrum. The momentum representation of the bispinors for bound

states.

s

Bibliography

□C. Stoica, Introducere în mecanica cuantică relativista, note de curs.

□F.J. Dyson, Advanced Quantum Mechanics, Lecture Notes, Cornell

University.

□F. Schwabl, Advanced Quantum Mechanics, Springer Verlag, 2005.

□W. Greiner, Relativistic Quantum Mechanics, Springer Verlag , 2000

□J.J. Sakurai, Advanced Quantum Mechanics, Addison-Wesley,1967

□A. Wachter, Relativistic Quantum Mechanics, Springer, 2011

□J.D. Bjorken, S.D. Drell, Relativistic Quantum Mechanics, McGraw-

Hill, 1964


infrastructure

PC systems Final mark is given by: Weight, in %

{Total=100%}

- final exam results 55.00%




- scientific reports, symposium etc 25.00%



lectures, Individual Colloquium, or Group Project, etc.}. Written exam



(10 point scale)

Correct presentation of a theoretical

subject to the final exam



testing.

Correct presentation of all the theoretical

subjects to the final exam

Correct solutions of all subjects in final exam.




June 20, 2014 Assoc. Prof. Mihai DONDERA, Lect. Cristian STOICA

35

Op.I31 Quantum information and communication Name Quantum information and

communication

Code Op.I31



S


individual study

69 Total hours per

semester 125

Teacher(s) Lect. Iulia GHIU




Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 28


Prerequisites

Required Quantum Mechanics, Optics

Recommended

Algebra



7. Preparation for quizzes 5 14. Other activities…. 0 TOTAL hours of individual study (per semester) =

69





36



3. Instrumental



- Ability to use numerical methods in modelling physical phenomena.

4.Attitudinal





SYLLABUS

Lecture :

Quantum inseparability. The density operator for a 1/2 spin particle. Bell

inequality. Measures of the quantum inseparability. Quantum teleportation.

Transmission of quantum information. Distinguishability of quantum states.

Quantum cryptography. Quantum gates. Quantum algorithms.

Practicals :

Qubit. Systems of two qubits. Bipartite inseparable states. The Bloch vector.

The density operator for a 1/2 spin particle. The reduced density operator.

The Einstein-Podolsky-Rosen paradox. The CHSH- Bell inequality. One-to-

one teleportation. One-to-many teleportation. Many-to-many teleportation.

Superdense coding. No-cloning theorem. The transfer of the inseparability.

The distance based on the trace. Uhlmann fidelity: definition, properties.

Definition of some quantum gates: Hadamard, Pauli, CNOT, SWAP C-U.

Representation in quantum circuits. Deutsch algorithm, Deutsch-Jozsa

algorithm, searching algorithms. Advantages with respect to classical

algorithms.

Bibliography

M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information,

Cambridge University Press, Cambridge, 2000.

Asher Peres, Quantum Theory: Concepts and Methods, Kluwer Academic

Publishers, 1993.

D. Bouwmeester, A. Ekert, and A. Zeilinger, The Physics of Quantum Information,

Springer Verlag, 2000.

Ingemar Bengtsson and Karol Zyczkowski, Geometry of Quantum States, Oxford,

2006.

D. Heiss, Fundamentals of quantum information, Springer Verlag, 2002.

Iulia Ghiu, 'Asymmetric quantum telecloning of d-level systems and broadcasting

of entanglement to different locations using the "many-to-many" communication

37

protocol', Physical Review A 67, 012323 (2003).

Iulia Ghiu and Anders Karlsson, ‘Broadcasting of entanglement at a distance using

linear optics and telecloning of entanglement’, Physical Review A 72, 032331

(2005).

Iulia Ghiu, ’A new method of construction of all sets of mutually unbiased bases

for two-qubit

systems’, Journ. Phys.: Conf. Ser. 338, 012008 (2012).

Iulia Ghiu, ’Generation of all sets of mutually unbiased bases for three-

qubit systems’, Physica Scripta T151 (2013).


infrastructure

- - PC workstations , video projector


{Total=100%}









Written exam



(10 point scale)

Good presentation of one theoretical

subject

Correct solution to one problem

Average presentation of one scientific

reports

Average results to periodic testing

Average results to continuous testing

Good presentation of all theoretical subjects

Correct solution to all problem

Good presentation of one scientific reports

Good results to periodic testing

Good results to continuous testing


June 20, 2014 Lect. Iulia GHIU

38

Op.I32 Numerical methods in theoretical physics

Name Numerical methods in

theoretical physics

Code Op.I32



S


individual study

69 Total hours per

semester 125

Teacher(s) Lect. Cătălin BERLIC, Lect. Mădălina BOCA, Lect. Roxana ZUS Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,


Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 4 22


Prerequisites

Required Numerical Methods in Physics, Equations of

Mathematical Physics. Advanced quantum

mechanics. Quantum statistical physics. Recommended

Modern computational methods in physics,

Estimated time (hours per semester) for the required individual study 1. Learning by using one’s own course notes 7 8. Preparation of presentations. 7 2. Learning by using manuals, lecture notes 6 9. Preparation for exam 10 3. Study of indicated bibliography 7 10. Consultations 5 4. Research in library 5 11. Field research

5. Specific preparation for practicals/tutorials 5 12. Internet research 7 6. Preparation of reports, small projects,









39


3. Instrumental


of interest.


4.Attitudinal

□to develop an interest for the field;



□to optimally valorise one’s own potential in scientific activities.

SYLLABUS

Lecture :

Monte Carlo method and generation of random variables.

Markhov chains, genetic algorithms, integral equations.

Monte Carlo method for quantum systems

High performance computing and parallel computing

Practicals:

Quantum scattering on a spherical symmetric potential

Application of numerical method in stochastic processes; integration of

Boltzmann equations.

Study of the radiation transport.

Calculation of the Green functions for a quantum system, variational methods.

Computational methods for theory of the network fields.

Bibliography

J.M. Thijssen, Computational Physics, (Cambridge University Press,

1999)

P.O.J.Scherer, “Computational Physics – Simulation of Classical and

Quantum Systems”, Springer-Verlag Berlin Heidelberg, 2010

M.H. Kalos, P.A. Whitlock, Monte Carlo Methods, (Wiley-VCH, 2008)


infrastructure Video projector, PC systems connected to the TCC cluster


{Total=100%}

- final exam results 40 %

- results to periodic tests/quizzes 15 %

- results to mid-term examination (oral, optional) 15 %

- scientific reports, symposium etc 30 %


40



A written exam on several theoretical topics and presentation of a numerical project



(10 point scale)



Average presentation of one project



Correct solutions to all subjects

Good presentation of one project




June 20, 2014 Lect. Cătălin BERLIC, Lect. Mădălina BOCA, Lect. Roxana ZUS

41

Op.I41 Nonlinear dynamics, chaos, physics of complex systems Name Nonlinear dynamics, chaos,

physics of complex systems

Code Op.I33



S


individual study

69 Total hours per

semester 125

Teacher(s) Assoc. Prof. Mircea BULINSKI, Assoc. Prof. Mihai DONDERA,

Lect. Iulia GHIU




Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 22 6


Prerequisites

Required Analytical mechanics, Thermodynamics and

statistical Physics, Recommended

Equations of Mathematical Physics.



7. Preparation for quizzes 5 14. Other activities…. 0 TOTAL hours of individual study (per semester) =

69





42



3. Instrumental



- Ability to use numerical methods in modelling physical problems.

4.Attitudinal





SYLLABUS

Lecture :

Non-linear dynamics Non-linear dynamics of fluids (equations of the ideal/viscous fluid). Flow

regimes. Reynolds numbers.

The hydrodynamic turbulence. The Kolmogorov spectrum. The energy

transfer. Turbulence of dynamical systems.

Discrete models of ideal and viscous fluids (shell models). Hamiltonian and

dissipative chaos. The KAM theorem, The Sneppen model for two-fluids

interface. Self-ordering. Fractal distributions. Macroevolution models (Bak-

Sneppen). Critical self-ordering. Fractal distributions. Applications for

cellular automatons.

Econophysics. Basic principles in econophysics. Ideal models in Physics and Finance. Price

and time scales. Stochastic models of price dynamics. The Black-Scholes

formula. Comparison between the dynamics of financial markets and

hydrodynamic turbulence.

Practicals:

Applications. Poisseuile flow. Calculation of Reynolds numbers. Analysis of

linear regime and of chaotic dynamics in non-integrable systems.

Bibliography

1. M. Tabor, Chaos and integrability in nonlinear dynamics. An

introduction. (John Wiley &Sons, 1989)

2. T. Bohr, M. H. Jensen, G. Paladin, A. Vulpiani, Dynamical systems

approach to turbulence, (Cambridge University Press 1998)

3. M. Aschwanden, Self-Organized criticality in astrophysics. The

statistics of nonlinear process in the Universe.(Springer, 2011)

4. R. N. Mantegna, H.E. Stanley, An introduction to econophysics.

Correlations and Complexity in Finance. (Cambridge University

Press, 2000)

5. B.K. Chakrabarti, A. Chakraborti, A. Chatterjee, Econophysics and

43

Sociophysics. Trends and Perspectives. (Wiley-VCH, 2006)


infrastructure

- PC systems connected to the TCC cluster


{Total=100%}












(10 point scale)


(for mark 5) in final exam


reports


testing.

Good presentation of all theoretical

subjects






June 20, 2014 Assoc. Prof. Mircea BULINSKI, Assoc. Prof. Mihai DONDERA, Lect. Iulia GHIU

44

Op.I42 Collision theory

Name Collision theory Code Op.I42



S


individual study

69 Total hours per

semester 125

Teacher(s) Assoc. Prof. Dr. Mihai DONDERA Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,


Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 28


Prerequisites

Required Quantum mechanics, Equations of Mathematical

Physics Recommended

Estimated time (hours per semester) for the required individual study 1. Learning by using one’s own course notes 10 8. Preparation of presentations.

2. Learning by using manuals, lecture notes 7 9. Preparation for exam 10 3. Study of indicated bibliography 8 10. Consultations 4 4. Research in library 5 11. Field research










45


3. Instrumental


of interest.

4.Attitudinal





SYLLABUS

Lecture :

Classification of collisions. Cross sections. Potential scattering, The scattering

solution and the scattering amplitude.

Scattering on central potentials, partial waves, phase shifts, phase shifts method.

Resonances, Breit-Wigner formula, Scattering on Coulomb potential and

potentials with Coulomb tail.

The Lippmann-Schwinger equation. Functions and Green operators, Born series

method.

Scattering on non-central potential

Scattering of particles with spin. Scattering of identical particles The time dependent integral equation of potential scattering Propagators.

The relativistic scattering theory. Collision theory for Dirac equation.

General scattering theory, In and Out states. Moller operators, The scattering

operator. The generalized Fermi Formula

Tutorial:

Collision kinematics; relativistic kinematics, Mandelstam variables. The optical

theorem, The Wronskian theorem and applications. Finite range potentials, The

effective range formalism. Analytical properties of the scattering amplitude. The

Born approximation. The R matrix method. Scattering of 1/2 spin particles in the

Born approximation. Invariant amplitudes. Coulomb effects in scattering of

identical particles. Applications of the time dependent perturbation theory in the

scattering theory. Inelastic scattering. The generalized optical theorem.

Bibliography

□C.J. Joachain, Quantum collision theory, North-Holland, 1975

□P. Roman, Advanced quantum theory, Addison-Wesley Pub. Co., 1965

□A. Messiah, Quantum mechanics, Dover, 1999

□E. Merzbacher, Quantum mechanics, John Willey & Sons, 1970

□M. Dondera, V. Florescu, Fizica atomica teoretica, Ed. UB, 2005

46

□J. Taylor, Scattering theory: the quantum theory of non-relativistic

collisions, John Willey & Sons, 1972 Necessary scientific

infrastructure PC systems


{Total=100%}












(10 point scale)


subject



reports









June 20, 2014 Assoc. Prof. Dr. Mihai DONDERA

47

Ob.501 Introduction to quantum theory of fields and elementary particles

Name Introduction to quantum

theory of fields and

elementary particles

Code Ob.501

Year of study II Semester 3 Assessment (E/V/C) E Formative category:


A


individual study

94 Total hours per

semester 150

Teacher(s) Assoc. Prof. Francisc Dionisie AARON, Lect. Roxana ZUS



Plasma and Lasers


Exact Sciences

Domain of master

program




56 28 22 6


Prerequisites

Required Advanced Quantum Mechanics, Quantum

Statistical Physics, Relativistic quantum

Mechanics Recommended

Equations of Mathematical Physics, Collision

theory











48



3. Instrumental


of interest.


4.Attitudinal





SYLLABUS

Lecture : Theory of Elementary Particles / Phenomenology

Space-time symmetries.

Classical free fields.

Introduction to gauge theories.

Tutorials: Fundamental properties of elementary particles. Relevant experimental

facts. Orders of magnitude in elementary particle physics, dimensional

analysis.

The Lorentz (LG)and Poincare (PG) groups: definition and basic

properties. Generators and Lie algebra of the Lorentz and Poincare

groups. Finite irreducible representations of LG and the concept of field.

Scalar, vectorial, spinorial fields.

Unitary representations of PG and the elementary particles. The Casimir

operators of PG; rest mass, spin, helicity of the elementary particles. The

Noether theorem. The energy-momentum tensor. The angular momentum,

Internal symmetries.

The scalar and complex fields, the Weyl field, the Dirac field, the Proca

field, the electromagnetic field. Definition, the Lagrange function, the

equations of motion, the frequency decomposition, relativistic invariants.

Quantization of the fundamental fields, commutation relations,

commutations functions, the relation between elementary particles and

fields.

The gauge invariance. The covariant derivative. The fundamental

interactions for the groups U(1), SU(2), SU(3).

Spontaneous symmetry breaking, the Goldstone theorem.

49

Gauge theories with spontaneous symmetry breaking

Basis of the standard model of the elementary particles and interactions

between them. Bibliography

1. M. Maggiore, A modern introduction to Quantum Field Theory, Oxford

University Press, 2005.

2. M.E. Peskin, D.V. Schroeder An Introduction to Quantum Field Theory,

Advanced Book Program, Addison-Wesley Publishing Company, 1995.

3. N.N. Bogoliubov, D.V. Shirkov, Introduction to The Theory of Quantized

Fields, John Wiley and Sons, 1980. 5. S. Weinberg, The quantum theory of

fields, Vol. I and Vol. II Cambridge University Press, 2005.

6. V.B. Berestetskii, E.M. Lifshitz , L.P. Pitaevskii , Quantum

Electrodynamics, Pergamon Press, 1989.

7. T.D. Lee, Particle Physics and Introduction to Field Theory, Hardwood

Academic, 1981.

8. A. Zee, Quantum Field Theory in a Nutshell, Princeton University

Press,2003.


infrastructure - PC workstations connected to TCC cluster


{Total=100%}












(10 point scale)



Average results to periodic testing.




Good results to continuous testing.

Good results to periodic testing.


June 20, 2014 Assoc. Prof. Francisc Dionisie AARON, Lect. Roxana ZUS

50

Ob.502 Interaction of laser radiation with matter

Name Interaction of laser radiation

with matter

Code Ob.501



A


individual study

94 Total hours per

semester 150

Teacher(s) Assoc. Prof. Mihai DONDERA, Lect. Mădălina BOCA



Plasma and Lasers


Exact Sciences

Domain of master

program




56 28 28


Required Quantum Mechanics, Electrodynamics,

Recommended

Equations of Mathematical Physics, Optics





1.Knowledge and understanding - Understanding of quantum theory of interaction of electromagnetic radiation

with matter

- Knowledge and understanding of radiative processes

- Understanding of time-evolution of atomic systems in interaction with

electromagnetic fields

- Ability to use mathematical and numerical models in analysing the interaction

of electromagnetic radiation with matter

51




3. Instrumental

- Ability to use mathematical or numerical methods and models in solving

physical problems of interest.

4.Attitudinal

to develop an interest for the field of quantum optics and materials science;




SYLLABUS

Lecture :

Physical processes in electromagnetic fields: general presentation.

Radiation fields. Electromagnetic waves and photons. Intense radiation sources.

Lasers: physical principles, parameters.

Free particle in electromagnetic fields: classical/quantum description. Interaction of radiation with atomic systems: transition amplitude/rates,

interaction cross-sections. Multi-photon processes. Perturbative/non-perturbative

description. Resolvent operator method.

DFT/TDDFT methods for description of interaction of microscopic systems

(atoms, molecules, clusters) with laser fields.

Radiation scattering (Rayleigh , Raman, Compton).

Laser assisted electron-ion/atom. Introduction to scattering theory in laser fields.

Density matrix method: evolution equation. Applications to atom-laser field

interaction. Stochastic differential equations for multi-photon transitions.

Quantum electrodynamics in intense laser fields: radiation scattering, pair

creation, Bremsstrahlung. Structure of differential cross-sections.

Tutorials: Classical/quantum description of electromagnetic field.

Gauge symmetry in quantum mechanics

Radiation reaction. Electron acceleration in electromagnetic fields.

Photoexcitation, photoionization, photodissociation of atomic/molecular species:

numerical methods, exactly solvable models.

Numerical methods for the description of laser assisted electron-ion/atom

scattering.

Density matrix method. Application to a two-level system. Quantum control with laser pulses.

Bibliography

1. C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, Atom-Photon

Interactions, Wiley-VCH Verlag, 2004.

2. F.H.M. Faisal, Theory of multiphotonic processes, Plenum Press,

1987

3. C. J. Joachain, N. Kylstra, R. M. Potvliege, Atoms in intense laser

fields, Cambridge University Press, 2012.

4. F. Grosmann, Theoretical Femtosecond Physics: Atoms and

52

Molecules in Strong Laser Fields, Springer Series on Atomic,

Optical, and Plasma Physics, 2008.

5. W. Greiner, Quantum Mechanics: Special Chapters, Springer,

1998

6. M. Dondera, V. Florescu. Capitole de fizica atomica teoretica, Ed.

UB, 2005.

7. M. Gavrila (ed) Atoms in intense laser fields, Academic Press,

1992.

8. V. Krainov, H. Reiss, B. Smirnov, “Radiative processes in atomic

physics”, J.Wiley&Sons, 1998. 9. Time dependent density functional theory. Series: Lecture

Notes in Physics , Vol. 706 , 2006.


infrastructure

- - PC workstations connected to CC cluster


{Total=100%}












(10 point scale)


subject



reports









June 20, 2014 Assoc. Prof. Mihai DONDERA

Lect. Mădălina BOCA

53

Op.II11 Quantum electrodynamics Name Quantum electrodynamics Code Op.II11 Year of study II Semester 3 Assessment (E/V/C) E Formative category:


A


individual study

69 Total hours per

semester 125

Teacher(s) Assoc. Prof. Mihai DONDERA, Lect. Cristian STOICA,

Lect. Mădălina BOCA Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,


Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 28



Relativistic quantum Mechanics Recommended




7. Preparation for quizzes 5 14. Other activities…. 0



1.Knowledge and understanding - Knowledge and understanding of the formalism

- Understanding of the quantization methods

- Description of some fundamental processes

- Ability to analyse and understand relevant experimental data and to formulate



54




3. Instrumental



4.Attitudinal





SYLLABUS

Lecture :

Relativistic field theory; symmetries and conservation laws, energy-momentum

tensor

The real scalar field, the Klein-Gordon equation; fundamental solutions,

quantization of the real scalar field. Creation and annihilation operators. The

covariant form of the commutation relations. The normal and chronological

product. The meson propagator, the Feynman propagator. The complex scalar

field. Charge conservation.

The electron-positron field. The Dirac Lagrange and Hamilton functions, The

Dirac equation. Quantization of the electron-positron field. The fermion

propagator, The electromagnetic interaction and the gauge invariance.

The electromagnetic field. The covariant form of the electromagnetism laws. The

Lagrange function of the electromagnetic field. Quantization of the

electromagnetic field. Gupta-Bleuler conditions. The photon propagator.

The S matrix. Series expansion on the S matrix. First order expansion on the S

matrix. Second order expansion on the S matrix. Physical processes of second

order. Feynman diagrams in momentum space. Loops. Feynman rules in

quantum electrodynamics.

Practicals:

Effective cross sections. Sums over the spin indices and photon polarization. Moller scattering. Bhabha scattering. Compton scattering. Klein-Nishina formula. Scattering on an external field. Bremsstrahlung. Radiative corrections. Photon self energy. Electron self-energy. Vertex corrections. The anomalous magnetic moment of the electron. Lamb shift. Regularization of divergent integrals

Bibliography

□C. Stoica, Introducere în mecanica cuantica relativista, note de curs.

□F.J. Dyson, Advanced Quantum Mechanics, Lecture Notes, Cornell

University.

55

□F. Schwabl, Advanced Quantum Mechanics, Springer Verlag, 2005.

□W. Greiner, Relativistic Quantum Mechanics, Springer Verlag , 2000

□J.J. Sakurai, Advanced Quantum Mechanics, Addison-Wesley,1967

□A. Wachter, Relativistic Quantum Mechanics, Springer, 2011

□J.D. Bjorken, S.D. Drell, Relativistic Quantum Mechanics, McGraw-Hill,

1964


infrastructure

PC workstations


{Total=100%}












(10 point scale)


subject



reports









June 20, 2014 Assoc. Prof. Mihai DONDERA, Lect. Cristian STOICA, Lect. Mădălina BOCA

56

Op.II12 Theory of intense laser radiation interaction with atomic and nuclear systems

Name Theory of intense laser

radiation interaction with

atomic and nuclear systems

Code Op.II12



A


individual study

69 Total hours per

semester 125

Teacher(s) Assoc. Prof. Mihai DONDERA, Lect. Cristian STOICA,

Lect. Mădălina BOCA Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,


Plasma and Lasers


Exact Sciences

Domain of master

program




56 28 28


Prerequisites


Equations of Mathematical Physics Recommended

Algebra, Optics.



7. Preparation for quizzes 5 14. Other activities…. 0 TOTAL hours of individual study (per semester) =69


1.Knowledge and understanding - Understanding of quantum theory of interaction of electromagnetic radiation

with matter

- Knowledge and understanding of basic processes

- Ability to use mathematical and numerical models in analysing the interaction

of electromagnetic radiation with matter

57



- Ability analyse data based on physical models

3. Instrumental



4.Attitudinal





SYLLABUS

Lecture :

Atomic processes in intense fields; general presentation

Multiphotonic processes. Photo ionization and photo excitation.

Elements of Floquet theory.

Time evolution of quantum systems in interaction with intense fields.

Above threshold ionization.

Higher order harmonic generation

Microscopic systems in very short laser pulses Relativistic effects in atom-laser interaction.

Microscopic systems in very intense laser pulses

Nuclear physics in intense laser physics. Compton scattering

Laser induced nuclear reactions.

Tutorials: Absorption/emission rates

Transition amplitudes in one and two photon processes

Energy spectrum in an intense laser field

Tunnelling and above barrier ionization; three step model.

Properties of higher order harmonics. Macroscopic effects.

Chirped pulse amplification. Chirp effects on fundamental processes. Absolute

phase effects. Pulses and pulse trains of 1-100 as. Applications.

Photo ionization at high intensity, retardation and relativistic effects. Spin effects

in intense laser fields.

Electron acceleration; control of coherent injection in laser focus with XUV

photons.

58

Bibliography

C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, Atom-Photon

Interactions Wiley Verlag, 2004

F.H.M. Faisal, Theory of multiphotonic processes

C. J. Joachain, N. Kylstra, R. M. Potvliege, Atoms in intense laser

fields Cambridge University Press, 2012

Grosmann, Theoretical Femtosecond Physics: Atoms and

Molecules in Strong Laser Fields Springer Series on Atomic,

Optical, and Plasma Physics, 2008

M. Dondera, V. Florescu, Fizica atomica teoretica, Ed. UB, 2005

Pierre Agostini and Louis F DiMauro, The physics of attosecond

light pulses, Rep. Prog. Phys. 67 813 (2004)

I.P. Grant, Relativistic quantum theory of atoms and molecules,

Springer Series on Atomic, Optical, and Plasma Physics, Vol. 40

H. Schwoerer, J. Magill, B. Beleites, Lasers and nuclei.

Applications of Ultrahigh intensity Lasers in nuclear science,

Springer 2006. Necessary scientific

infrastructure □- PC workstations


{Total=100%}












(10 point scale)


subject



reports









June 20, 2014 Assoc. Prof. Mihai DONDERA, Lect. Cristian STOICA, Lect. Mădălina BOCA

59

Op.II21 Group theory and applications in Quantum mechanics Name Group theory and applications in

Quantum mechanics

Code Op.II21



A


individual study

69 Total hours per

semester 125

Teacher(s) Prof. Ion ARMEANU, Lect. Crina DĂSCĂLESCU, Lect. Iulia GHIU Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,


Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 28


Prerequisites

Required Algebra, Geometry, Differential equations

Recommended

Advanced quantum mechanics, quantum

statistical physics











60


1.Knowledge and understanding

- understanding of the role of the symmetries in quantum mechanics

- understanding of the consequences of the rotational symmetry on the

properties of a physical system

- development of the ability to understand, analyse and compare different

mathematical models and to use them in theoretical modelling of physical

phenomena

-development of the ability to formulate rigorous theoretical conclusions;

- development of the ability to apply appropriate mathematical models for

modelling of physical phenomena

-theoretical understanding of the studied problems 2. Explication and interpretation

- development of the ability to prepare and present a presentation well

structured and based on rigorous theoretical knowledge;

- development of the ability to model mathematically the physical phenomena

3. Instrumental

- ability to use the theoretical knowledge for solving problems of interest and for

mathematical modelling of various physical processes.

4.Attitudinal


to realize the importance of the field in modern physics;



SYLLABUS

Lecture:

- Groups and representations. General notions and theorems

- SO(3) and SU(2) groups as compact Lie groups, parametrization, Lie algebras,

homomorphism, Hurwitz integral

- irreducible tensor operators, Wigner Eckhart theorem

-SU(3) group

-symmetry transformations in quantum mechanics

-Wigner theorem

Tutorials:

- unitary irreducible representation of SU(2) group - unitary irreducible representation of SU(3) group

Bibliography

J.J. Sakurai, Modern quantum mechanics, Addison-Wesley, 1990

61

E. Wigner, Group Theory and its applications to atomic spectra, Academic

Press, 1959

H. Weyl, Group Theory and quantum mechanics, Dover Publications, 1950

F. Cornwell, Group theory in Physics, Academic Press; Abridged edition,

1997

W.K. Tung, Group theory in Physics, World Scientific Publishing Company,

1985


infrastructure

- - beamer


{Total=100%}












(10 point scale)






Successful presentation of all scientific reports




June 20, 2014 Prof. Ion ARMEANU, Lect. Crina DĂSCĂLESCU, Lect. Iulia GHIU

62

Op.II22 Computational methods in theory of electronic structure of materials

Name Computational methods in the

theory of electronic structures of

materials

Code Ob. II22



A


individual study

69 Total hours per

semester 125

Lecturer(s) Assoc. Prof. Lucian ION, Lect. George Alexandru NEMNEȘ

Faculty Physics Total hours per semester in curriculum Department Electricity, Solid State

and Biophysics


Exact Sciences

Domain of master

program




56 28 28


Required Quantum mechanics, Solid State Physics I and II,


Electrodynamics Recommended

Physical Electronics, Equations of mathematical

physics

Estimated time (hours per semester) for the required individual study 1. Study using the course notes 7 8. Preparation of presentations. 0 2. Study using manuals, lecture notes, etc. 8 9. Preparation for exam 10 3. Study of indicated bibliography 10 10. Consultations 4 4. Research in library 5 11. Field research 0 5. Specific preparation for







1.Knowledge and understanding - Understanding the approximate methods for many-body systems – perturbative

and variational based methods.

- Understanding the density functional theory method.

- Ability to assimilate, analyse and compare diverse physical phenomena,

employing fundamental principles.

63


2. Explication and interpretation - Ability of analyse and interpret numerical data, especially concerning band

structure calculations and optical properties on the bases of DFT codes and to

formulate rigorous theoretical conclusions.

- Ability to employ mathematical and numerical models for modelling the

physical phenomena. 3. Instrumental


interest.

- Ability to develop computer programs for modelling electronic structure of

materials

4.Attitudinal



to optimally cultivate one’s own potential in scientific activities.

SYLLABUS

Lecture :

- Classification of many-body approximate methods.

- The problem of electron correlations.

- The density functional theory (DFT). Hohenberg-Kohn theorems.

- Kohn-Sham method. Kohn-Sham equations.

- Functionals for the exchange and correlation terms. The local density

approximation (LDA) and local spin density approximation (LSDA). The GGA

approximation.

- Orbital dependent functionals: self-interaction correction (SIC) and LDA+U

approximation. Hybrid functionals.

- Ab initio numerical techniques. Pseudopotentials.

- Semilocal pseudopotentials. Ultrasoft pseudopotentials.

- Extensions: time dependent density functional theory.

- GW approximation. Applications.

Seminars : - Elaboration of a numerical code to implement the Hartree-Fock method.

- SIESTA method: presentation. Advantages and disadvantages of the method.

- SIESTA method for band structure calculations in bulk semiconductors and

nanostructures.

- SIESTA method for investigating defects in semiconductor systems.

- Ab initio techniques for magnetic materials. Bibliography

1. H. Bruus, K. Flensberg, Many-Body Quantum Theory in Condensed

Matter Physics: An Introduction (Oxford University Press, Oxford 2004).

2. R.M. Martin, Electronic structure: basic theory and practical methods

(Cambridge University Press, Cambridge, 2004).

3. W. Nolting, Fundamentals of Many-body Physics (Springer Verlag,

Berlin, 2009).

4. SIESTA 3.0 Manual, http://icmab.cat/leem/siesta/

Lecture notes will be available on the website:

http://solid.fizica.unibuc.ro/cursuri/ Necessary scientific

infrastructure

PC workstations connected to HPC-FSC computing cluster

64


{Total=100%}









Written exam



(10 point scale)




testing.





Date Lecturer(s) signature(s) June 20, 2014 Assoc. Prof. Lucian ION

Lect. George Alexandru NEMNEȘ

65

Op.II31 Theory of hadronic matter in extreme conditions and quark-gluon plasma

Name Theory of hadronic matter in

extreme conditions and quark-

gluon plasma

Code Ob. II31



S


individual study

85 Total hours per

semester 125

Lecturer(s) Prof. Virgil BĂRAN, Lect. Vanea COVLEA, Lect. Roxana ZUS



Plasma, Lasers


Exact Sciences

Domain of master

program




40 20 16 4


Prerequisites

Required Advanced Quantum mechanics, Quantum

Statistical mechanics, Introduction to quantum

field theory and the theory of elementary

particles, The theory of nuclear systems and of

photonuclear reactions. Recommended

The equations of mathematical physics

Estimated time (hours per semester) for the required individual study 1. Study using the course notes 10 8. Preparation of presentations. 0 2. Study using manuals, lecture notes, etc. 10 9. Preparation for exam 10 3. Study of indicated bibliography 10 10. Consultations 10 4. Research in library 5 11. Field research 0 5. Specific preparation for







66


1.Knowledge and understanding - Understanding the foundations of structure of the matter: fundamental

constituents and interactions between them;

- Understanding the phase transitions of strongly interacting matter;

- understanding the transport phenomena in the presence of a spontaneously

broken chiral symmetry and deconfinment mechanism.

- development of the skill to apply mathematical models and numerical method

For modelling various physical processes

- acquire the appropriate understanding of studied fundamental mechanisms 2. Explication and interpretation - Ability of analyse and interpret theoretically the experimental results from the

Heavy ions collisions.

- Ability to construct an scientific argumentation for a complex dynamical

process.

3. Instrumental


interest.

- Ability to develop computer programs for modelling nuclear dynamics

4.Attitudinal



to optimally cultivate one’s own potential in scientific activities.

SYLLABUS

Lecture :

The phase diagram of nuclear matter

The properties of nuclear matter at finite temperature. Nuclear

multifragmentation and liquid-gas phase transitions in binary systems. The

evolution of reaction mechanisms with the energy and centrality in heavy ions

collisions.

The transition from hadronic matter to quark-gluon plasma

The connection between quarks and irreducible representations of the SU(3)

group. Classification of elementary particles in strong interaction. Basics of

Quantum Chromodynamics (QCD). Non-perturbative features of strongly

interacting matter: deconfinement and spontaneous breaking of chiral symmetry.

Order parameters for chiral phase transition and deconfinement phase transition

And the vacuum structure. Phenomenological models of the nucleon. Nambu-

Jona-Lasinio model. Analogies and differences between electromagnetic and

quark-gluon plasmas. Experimental signatures of transition to quark-gluon

plasma at RHIC and LHC. The dynamics of quark-gluon plasma in transport

models.

Seminars : The study of instabilities in asymmetric nuclear matter. The sigma-omega model

of nuclear matter.

The equation of state for quarks and gluons systems at finite density and

temperature.

67

Bibliography

D. Durand, E. Suraud, B. Tamain, Nuclear dynamics in nucleonic regime.

(IOP 2001).

K. Yagi, T. Hatsuda, Y. Miake, Quark-gluon plasma. From Big Bang to

Little Bang (Cambridge University Press, Cambridge, 2005).

W. Greiner, S. Schramm, E. Stein, Quantum Chromodynamics (Springer

2007).

J. Letessier, J. Rafeski, Hadrons and quark-gluon plasma, (CUP 2004)

R. Balian, From Microphysics to Macrophysics, vol 1,2, (Springer 2006) Necessary scientific

infrastructure

PC workstations connected to HPC-TCC computing cluster


{Total=100%}









Written exam, including theoretical items and applications with various degrees of difficulty



(10 point scale)



Average results to periodic and continuous

testing.






June 20, 2014 Prof. Virgil BĂRAN, Lect. Vanea COVLEA, Lect. Roxana ZUS

68

Op.II32 Computational approaches in nuclear and elementary particles physics

Name Computational approaches in

nuclear and elementary particles

physics

Code Op.II32



S


individual study

85 Total hours per

semester 125

Teacher(s) Prof. Virgil BĂRAN, Prof. Claudia TIMOFTE, Lect. Roxana ZUS Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,


Plasma, Lasers


Exact Sciences

Domain of master

program




40 20 4 16


Required Physical Data Processing and Numerical

Methods, Modern computational methods in

physics, Nuclear and Elementary Particles

Physics, Introduction to quantum theory of fields

and elementary particles Recommended

Theory of nuclear systems and photonuclear reactions











69


1.Knowledge and understanding - describing and understanding of the structure of the nuclear and subnuclear

systems based on numerical investigations;

- understanding the dynamics of nuclear systems and elementary particles with

realistic numerical methods;

- developing abilities to apply appropriate numerical methods for modelling

physical systems

- ability to analyze and interpret relevant numerical results and to formulate

rigorous conclusions 2. Explication and interpretation - Ability to elaborate and present scientific ideas/models.

- Ability analyze numerical data based on physical models

3. Instrumental

- Ability to use theoretical techniques specific for many-body systems



4.Attitudinal

to develop an interest for computational physics;




SYLLABUS

Lecture :

Computational methods in nuclear structure: algorithms for nuclear models,

numerical solutions for the study of nuclear matter properties in Hartree-Fock

theory with pairing interaction, numerical approaches in RPA theory for

collective nuclear response, computational methods for nuclear reactions

description.

Numerical methods for matter structure investigation. Deep inelastic scattering.

Hadron-hadron scattering.

Tutorials/Practicals: Numerical applications to collective geometric model study and to interacting

boson approximation study.

Numerical implementation of semi-classical method based on Vlasov equation

for nuclear dynamics description from low-energies up to Fermi-energies.

Numerical simulations for relativistic kinematics and cross-sections for

elementary particles collisions.

Electron-proton collisions associated to HERA-DESY experiments.

Proton-proton collisions associated to LHC-CERN experiments.

Bibliography

1. K. Langanke, J.A. Maruhn, S.E. Koonin, Computational Nuclear Physics,

vol 1 and 2, Springer –Verlag, 1991

2. R. K. Ellis, W. J. Stirling, and B. R. Webber, QCD and collider physics,

Cambridge University Press, 2003

70

3. F. Halzen and A. D. Martin, Quarks and Leptons: An introductory course in

modern particle physics, Wiley, 1984

4. T. Sjostrand, S. Mrenna, and P. Skands, JHEP 05, 026 (2006), arXiv:hep-

ph/0603175

5. T. Sjostrand, S. Mrenna, and P. Z. Skands, Comput. Phys. Commun. 178,

852 (2008), arXiv:0710.3820

6. PYTHIA http://home.thep.lu.se/~torbjorn/Pythia.html 7. ROOT http://root.cern.ch


infrastructure

- - PC workstations connected to TCC computing cluster


{Total=100%}









A written exam on several theoretical topics and problems with different difficulty level and

the presentation of a complex project with numerical solution to a nuclear or elementary

particles physics problem.



(10 point scale)


subject



reports









June 20, 2014 Prof. Virgil BĂRAN, Prof. Claudia TIMOFTE, Lect. Roxana ZUS

http://home.thep.lu.se/~torbjorn/Pythia.html

http://root.cern.ch/

71

Op.II41 Modern applications of many body systems Name Modern applications of many

body systems

Code Op.II41

Year of

study

II Semester 4 Assessment (E/V/C) E

Formative category:

A = thoroughgoing study type course; S = integration/synthesis type course S

Type{Ob – compulsory, Op- elective, F –

optional}

F ECTS 5

Total hours in

curriculum 40 Total hours for

individual study

85 Total hours per

semester 125

Teacher(s) Assoc. Prof. Lucian ION, Assoc. Prof. Radu Paul LUNGU,

Lect. Tiberius CHECHE, Lect. Doinița BEJAN

Faculty Physics Total hours per semester in curriculum

Department

Theoretical

Physics,

Mathematics,

Optics, Plasma,

Lasers

Main domain (sciences, art,

culture)

Exact Sciences

Domain of

master

program


Program

name

Theoretical and

computational

physics

40 20 16 4


Prerequisites

Required Advanced quantum mechanics and statistical

physics, Introduction in the theory of identical

particles, Solid state physics II, Thermodynamics

and statistical physics, Electrodynamics

Recommended


Estimated time (hours per semester) for the required individual study

1. Learning by using

one’s own course notes 10 8. Preparation of

presentations. 0

2. Learning by using

manuals, lecture notes 10 9. Preparation for exam 10

3. Study of indicated

bibliography 10 10. Consultations 8


72

5. Specific preparation

for practicals/tutorials 7 12. Internet research 10

6. Preparation of

reports, small projects,

homework

10 13. Other activities…

7. Preparation for

quizzes 5 14. Other activities….



Specific

competences

1.Knowledge and understanding

- Understanding the specific feature of the quantum systems composed from

strongly correlated identical particles

- Understanding the role of the interaction, of the particle nature and of the

dimensionality over the dynamical properties

- Developing the capability to assimilate, analyse and compare diverse

phenomena, starting from basic principles

- Developing the ability to analyse and interpret the experimental data and

to formulate rigorous theoretical conclusions

- Developing the ability to apply mathematical models and adequate

numerical procedures

- Developing the computational abilities and a sound theoretical

knowledge of the studied problems

2. Explication and interpretation - Ability to elaborate and present scientific subjects, rigorously sustained

- Formation of the capacity to build mathematical models of the

phenomena of physics

3. Instrumental

- One follows the formation of the capacity to use the theoretical knowledge

in order to solve practical problems and to model phenomena

4.Attitudinal

to develop an interest for the field of materials science;




Lecture :

The formalism of the Green functions.

General properties of Green functions (symmetry, Lehman representations),

physical interpretation for the retarded Green function. Galitskii-Migdal

theorems. The relation with the observables. Differential equations.

Correlation functions (definition, general properties, the similarity with the

Green functions).

73

SYLLABUS

The formalism of the density functional

The theory of the density functional. Hohenberg-Kohn theorems. The

Kohn-Sham equations. Approximate functionals. Introduction in the theory

of the time dependent density functional.

The dynamics of the Bose-Einstein condensate

The Gross-Pitaevskii equation. Elementary excitations and collective

modes. Solitons. Traps for condensates for finite temperature.

From the integral Hall effect to the fractional Hall effect

Strong correlated systems and the quasiparticle concept. Laughlin theory.

The theory of compound fermions.

Quantum dots and other systems of reduced dimensionality

The theory of quantum dots in the presence of a magnetic field. Resonances,

coupled wells and super networks. Quantum wells as electronic

interferometers

Seminar:

Applications of the Green formalism for various systems. The Thomas-

Fermi approximation and its extensions

Basic properties of the quantum wells in thin films: confination in an

energetic gap, model of calculation, the wave function and associated

quantum numbers

Bibliography

1. E. Lipparini, Modern many-particle physics. Atomic gases, quantum dots

and quantum fluids, World Scientific, 2003

2. R.G. Paar, W. Yang, Density functional theory for atoms and molecules,

Oxford UP,1989

3. C.A. Ullrich, Time-Dependent Density Functional Theory, Oxford UP,

2012

4. J.K. Jain, Composite fermions, Cambridge UP, 2007

5. T. Chakraborty, P. Pietilainen, The quantum Hall effects, Fractional and

Integral, Springer 1995

6. C.J. Pethick, H. Smith, Bose-Einstein Condensation in Dilute

Gases, Cambridge UP, 2008

7. Z.F. Ezawa, Quantum Hall effects, World Scientific, 2007

8. P. Harrison, Quantum Wells, Wires and Dots, Theoretical and

computational physics of Semiconductor Nanostructures, John Wiley

and Sons, 2005


infrastructure

- PC systems interconnected to the TCC cluster

74


{Total=100%}




- results to mid-term examination (oral,

optional) 10%


- other activities (to be specified)

…………………


lectures, Individual Colloquium, or Group Project, etc.}. Written exam

Minimal requirements for mark 5

( 10 point scale)


(10 point scale)




testing

One scientific report



Successful presentation of all scientific

reports


June 20, 2014 Assoc. Prof. Lucian ION, Assoc. Prof. Radu Paul LUNGU,

Lect. Tiberius CHECHE, Lect. Doinița BEJAN

75

Op.II42 Theory of critical phenomena

Name Theory of critical phenomena Code Op.II42 Year of study II Semester 4 Assessment (E/V/C) E Formative category:


S


individual study

85 Total hours per

semester 125

Teacher(s) Prof. Dr. Virgil BĂRAN, Assoc. Prof. Radu Paul LUNGU,


Faculty Physics Total hours per semester in curriculum Department Theoretical physics,


Plasma, lasers


Exact Sciences

Domain of master

program




40 20 20


Prerequisites

Required Quantum mechanics, Solid state physics,

thermodynamics and Statistical Mechanics,

Electrodynamics, Equations of mathematical

physics Recommended

Electronics, Optics





1.Knowledge and understanding - Knowledge and description of physical properties of phase transitions at the

critical points

- Understanding the universal behaviour, the role of the dimension and of the

symmetries.

- development of the skill to apply mathematical models and numerical method

for modelling various physical processes

- acquire the appropriate understanding of studied fundamental mechanisms

76


2. Explication and interpretation - Ability to elaborate and present scientific ideas/models related to the critical

phenomena and phase transitions

- Ability to analyze experimental data based on physical models

3. Instrumental



4.Attitudinal

to develop an interest for the field of phase transitions;




SYLLABUS

Lecture :

Continuous phase transitions and critical points

Critical phenomena in nature: liquid-gas phase transition, binary fluid, the

ferromagnetic-paramagnetic transition, the transition to superconductivity, the

He I-He II transition. Fundamental concepts: order parameter, critical exponents,

correlation functions, scale invariance, classes of universality.

Models for description of phase transitions

Ising models in one, two and three dimensions. Networks models, XY model,

Heisenberg model, Potts model, percolation model

Mean-field theory for critical behaviour

Theoretical framework. Landau theory. Critical exponents in Landau theory.

Renormalization group method

The basic principles of the method. Renormalization group transformations and

recurrence relations. Fixed points of the renormalization group transformations:

the physical meaning and properties. Linearized transformations around the

fixed point. The origin of the scale behaviour. Renormalization group in

differential form.

Seminar:

The Van der Waals model for the liquid-gas phase transition: critical exponents

in the mean-field approximation.

The transfer matrix. The Duality transformation.

Onsager solution for Ising model in two dimensions.

The renormalization group method for Ising model in two dimensions.

The Monte-Carlo method for Ising model in three dimensions.

77

Bibliography

J.J. Binney, N.J. Dowrick, A.J. Fisher, M.E.J. Newman, The Theory of Critical

Phenomena. An introduction to the renormalization Group, (Oxford UP 1995)

N. Goldenfeld, Lectures on phase transitions and the renormalization group

(Adison-Wesley PC, 1992)

Leo P. Kadanoff, Statistical Physics. Statics, Dynamics and Renormalization.

(World Scientific, 2001)

C. Domb, The Critical Point, (Taylor&Franciscs, 1996) Necessary scientific

infrastructure

- PC workstations connected to HPC-FSC computing cluster


{Total=100%}









Written examination based on several theoretical issues and application with various

degrees of difficulty



(10 point scale)




testing




All reports for practical work


June 20, 2014 Prof. Dr. Virgil BĂRAN,

Assoc. Prof. Radu Paul LUNGU,


78

DF.II1 Introduction to gravity theory and cosmology

Name Introduction to gravity theory

and cosmology

Code DF.II1



S

Type{Ob – compulsory, Op- elective, F – optional} F ECTS 5 Total hours in curriculum 56 Total hours for

individual study

69 Total hours per

semester 125

Teacher(s) Assoc. Prof. Ion ȘANDRU Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,


Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 28


Prerequisites

Required Equations of Mathematical Physics,

Electrodynamics and Relativity theory,

Analytical Mechanics. Recommended

Thermodynamics and statistical physics.












79


3. Instrumental


of interest.

- Ability to use numerical methods in modelling physical phenomena

4.Attitudinal





SYLLABUS

Lecture :

The equivalence principle. The Einstein equations for the gravitational field.

Geometries with spherical symmetry; the Schwarzschild solution.

The weak field limit: linearized Einstein equations

Effects and experimental proofs of the general relativity.

The Hilbert Einstein solutions

Cosmogonic models.

Tutorials:

Elements of vectorial calculations; the metric tensor, the Christoffel symbols,

Properties of the metric, Riemann and Ricci tensors. The Bianchi identities.

The Einstein equations.

The weak field limit; gravitational waves.

The symmetric energy-momentum tensor.

Bibliography

□M. P . Hobson, G . P . Efstathiou, A . N . Lasenby, General Relativity:

An Introduction for Physicists (Cambridge University Press,

Cambridge, UK, 2006).

□C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation, (W.H.Freeman

and Company, San Francisco, USA, 1973)

□S. Weinberg, Cosmology (Oxford University Press, NY, 2008).

□S. WEINBERG, GRAVITATION AND COSMOLOGY. PRINCIPLES

AND APPLICATIONS OF THE GENERAL THEORY OF

RELATIVITY, (JOHN WILEY&SONS, 1972)


infrastructure Video projector

PC systems


{Total=100%}







80






(10 point scale)











June 20, 2014 Assoc. Prof. Ion ȘANDRU

81

DF.II2 Advanced methods for parallel computing

Name Advanced methods for parallel

computing

Code DF.II2



S


individual study

69 Total hours per

semester 125

Teacher(s) Lect. George Alexandru NEMNEȘ Faculty Physics Total hours per semester in curriculum Department Electricity, Solid State

Physics, Biophysics


Exact Sciences

Domain of master

program




56 28 28


Required Solid state physics I and II, Quantum mechanics,

Programming languages Recommended

Numerical methods and data processing in

physics, Electrodynamics, Introduction to

physics of mesoscopic systems








1.Knowledge and understanding - Knowledge and understanding of parallel programming using MPI

- Understanding of parallel architectures

- Ability to analyse and interpret relevant experimental data and to formulate



- Ability to analyse and compare different physical phenomena based on

fundamental principles

- Ability to analyse experimental or simulated data based on physical models

82


3. Instrumental

- Ability to write MPI programs for simulations and modelling in materials

science



4.Attitudinal

to develop an interest for the field of materials science;




SYLLABUS

Lecture :

- Parallel architectures. Classification. Flynn’s taxonomy.

- Shared memory architectures. Distributed memory architectures.

- Parallel programming techniques. Shared memory models. Threads.

Distributed memory models. Programming using Message Passing Interface

(MPI).

- Parallel programs: problem partitioning, communications, synchronization,

data dependence, load balancing on computing nodes, granularity.

- Libraries for linear algebra parallel computations (BLACS, SCALAPACK)

- Applications. Ising systems. States space sampling methods.

- Cellular automata. LGA (Lattice Gas Automata) methods.

- Anomalous diffusion.

Practicals:

- Linear algebra MPI applications.

- Monte-Carlo integration techniques.

- MPI programming: anomalous diffusion in quasi-fractals.

Bibliography

1. MPI: A Message-Passing Interface Standard (Version 3.0), Message

Passing Interface Forum, September 21, 2012

2. LAPACK, SCALAPACK manuals and tutorials (available at

http://www.netlib.org).

3. Lecture notes available at http://solid.fizica.unibuc.ro/~nemnes/ Necessary scientific

infrastructure

- - PC workstations connected to HPC-FSC computing cluster


{Total=100%}










http://www.netlib.org/

83



(10 point scale)


subject



reports









June 20, 2014 Lect. George Alexandru NEMNEȘ

84

DF.II3 Extensions of the standard model of elementary particles

Name Extensions of the standard model

of elementary particles

Code DF.II3



S


individual study

69 Total hours per

semester 125

Teacher(s) Lect. Roxana ZUS Faculty Physics Total hours per semester in curriculum Department Theoretical Physics,


Plasma, Lasers


Exact Sciences

Domain of master

program




56 28 22 6


Required Advanced quantum mechanics. Quantum statistical

physics, Electrodynamics, Introduction to quantum

theory of fields and elementary particles Recommended

Quantum electrodynamics











85


1.Knowledge and understanding - Knowledge and understanding of the fundamental interactions in nature

- Understanding of the possible effects associated to physical properties beyond

the theoretical framework of Standard Model

- Description of some fundamental processes

- Ability to analyse and understand relevant experimental data and to formulate




- Ability to analyse and compare different physical phenomena based on

fundamental principles

- Ability to analyse experimental or simulated data based on physical models

3. Instrumental



4.Attitudinal

to develop an interest for the field of theoretical physics;




SYLLABUS

Lecture :

Introduction and motivation for extending the Standard Model.

Weyl, Dirac, Majorana spinors.

Introduction to supersymmetry and Minimal Supersymmetric Standard Model

(MSSM).

Wess-Zumino model. Superfields. Supervectorial multiplets.

MSSM. SUSY breaking. Higgs sector and electroweak breaking in MSSM.

Mass of super-particles in MSSM.

Tutorial :

Calculus on fine tuning, invariance, Lagrange density for a complex field with 0-

spin an spinorial field.

Supersymmetric generators and associated algebra, supersymmetric

transformations, gauge super-multiplets. Unification of coupling in MSSM, symmetry breaking, gluinos, neutralinos,

charginos, squarks and sleptons. Bibliography

1. S. Weinberg, Quantum Field Theory, vol III, 1990

2. Stephen P. Martin, Supersymmetry Primer, arXiv:hep-ph/9709356v6 6

Sep 2011

3. I. Aitchinson, Supersymmetry in Particle Physics - An Elementary

Introduction, Cambridge University Press, 2007

86

4. M.Dine, Supersymmetry and String Theory - Beyond the Standard

Model, Cambridge University Press, 2007


infrastructure

- - PC workstations connected to TCC cluster


{Total=100%}












(10 point scale)


subject



reports









June 20, 2014 Lect. Roxana ZUS

Documents

Science field: PHYSICS - UniBuc