1

Table 1 : Prerequisite Courses PhD

Name of Courses Number of Units and hours Prerequisite or concurrent

Advanced Quantum Mechanics 1 3 Unit theoretic - 51 hours -

Advanced Quantum Mechanics 2 3 Unit theoretic - 51 hours Advanced Quantum Mechanics 1

Advanced Statistical Mechanics1 3 Unit theoretic - 51 hours -

2

Table 2 : PhD Courses

Name of Courses Number of Units and hours Prerequisite or concurrent

Advanced Topics in the Theory of

Groups

3 Unit theoretic - 51 hours -

Geometry - Topology 1 3 Unit theoretic - 51 hours -

Geometry - Topology 2 3 Unit theoretic - 51 hours Geometry - Topology 1

Special Topics in Mathematics -

Physics

3 Unit theoretic - 51 hours -

Relativistic Quantum Mechanics 3 Unit theoretic - 51 hours -

Quantum field theory 1 3 Unit theoretic - 51 hours -

Quantum field theory 2 3 Unit theoretic - 51 hours Quantum field theory 1

Physics of critical phenomena 3 Unit theoretic - 51 hours -

Statistical Mechanics 2 3 Unit theoretic - 51 hours Advanced Statistical Mechanics1

Advanced Particles 1 3 Unit theoretic - 51 hours Quantum field theory 1

Advanced Particles 2 3 Unit theoretic - 51 hours Advanced Particles 1

Special Topics in Particles 3 Unit theoretic - 51 hours -

Theoretical Foundations of

Quantum Mechanics

3 Unit theoretic - 51 hours -

Philosophical Foundations of

Quantum Mechanics

3 Unit theoretic - 51 hours -

Special Topics in Physics 3 Unit theoretic - 51 hours -

3

Advanced Astrophysics 1 3 Unit theoretic - 51 hours -

Advanced Astrophysics 2 3 Unit theoretic - 51 hours Advanced Astrophysics 1

General Relativity 1 3 Unit theoretic - 51 hours -

General Relativity 2 3 Unit theoretic - 51 hours General Relativity 1

Cosmology 1 3 Unit theoretic - 51 hours -

Cosmology 2 3 Unit theoretic - 51 hours Cosmology 1

Condensed Matter Physics 1 3 Unit theoretic - 51 hours -

Condensed Matter Physics 2 3 Unit theoretic - 51 hours Condensed Matter Physics 1

Several particle physics machines 1 3 Unit theoretic - 51 hours -

Several particle physics machines 2 3 Unit theoretic - 51 hours Several particle physics machines 1

Advanced Topics in

superconductivity and superfluid

3 Unit theoretic - 51 hours Several particle physics machines 1

Advanced Topics in Magnetism 3 Unit theoretic - 51 hours -

Physics of Liquid Crystals 3 Unit theoretic - 51 hours -

Advanced Topics in Nuclear

Physics 1

3 Unit theoretic - 51 hours -

Advanced Topics in Nuclear

Physics 2

3 Unit theoretic - 51 hours Advanced Topics in Nuclear

Physics 1

4

5

Advanced Statistical Mechanics II

Prerequisite: Statistical Mechanics 1

Introduction of critical phenomena and phase transports, Renormalization group, Ising

model, Gases and dense liquids, Introduction of quantum liquids, Cluster expansion,

Field theory applications in statistical mechanics and Monte Carlo methods.

6

Geometry and topology I

1- Review on the basic concepts: group module, loop, algebra, vector space and

category.

2- Topology: basic concepts, convergence, connective, compaction, metric space,

Banach and Hilbert spaces, main groups, hemotopy.

3- Differential calculus in Banach space : differential calculus foundations, varying

calculus, the implicit function and inverse function spaces, differential equations.

4- Differential manifolds : smooth manifolds category, vector fields, tensors, fiber

bundles, tangent bundle and its dual, main fiber spaces, tensor fields and

differential, local transformations groups, sub-manifolds of integral, ferocious

theorem, lee groups and lee algebras, morrer – kartan formula.

5- Integration on the manifolds : orienting, integration of n, fermies in R n space ,

stokes theorem.

Manifolds hemology and cohomology, batti numbers, Poincare lemma .

Derma theorem and duality Poincare theorem Euler-Poincare characteristic

6- Simplistic structures and Hamiltonian systems in limited direction.

7

Geometry and topology II

Prerequisite: Geometry - Topology I

1- Monifolds Raman and Cleary

2- Coil spaces include the main

3- Monifolds With dimension Endless

4- Samplektik structures and systems of millions of Infinity dimension

5- Theory degree

6- Definitions and basic theorems about the theory of lecturer.

8

Advanced topics in mathematical – physics

Special topics in mathematical – physics are elected by lecturer .

9

Special topics in the field theory

Productive functions of fine man, effective action, renormalization of yang-mylz theory,

renormalization group, tangential behavior, field theory in un-zero temperature and the

other topics with lecturer election.

10

Special topics in the group theory

Limited groups, display of the limited groups, lee groups, lee algebras, half-simple

algebras, display product, aphin algebras and its displays Aphin algebras characteristic,

quantum groups.

11

Advanced particle physics I , II

Fundamental particles symmetries, geometry and C,P,T symmetries And them

applications, CPT , SU(2) and SU(3) internal symmetries quark model and color and

taste, modular symmetries, spontaneous symmetry breaking, the standard model of

weak and electromagnetic interactions, quantum colored dynamics (QCD) and its

application in the explain of dispersion and decay, the grand unified theory in the

context of modular symmetries, super symmetry, the problem of magnetic monopoles

and topological entities.

12

Quantum field theory I , II

Quantization of scalar fields, electromagnetic, Divac and vector with non-zero mass,

vacuum expected values and propagators, quantum field interactions, matrix S and

effective collision cross section, interactional Divac formalism, Feynman diagrams and

the examples of interactions of quantum fields, green functions the examples of

interactions of quantum fields, renormalization, quantum electro dynamics, Campton

effect, annihilations, radioactive corrections, the problem of infrared, quantisation with

using the path integral approach, binding systems, the non-A belian gauge fields, the

colored quantum fields, renormalization and renormalization group, disorders, the

massive gauge fields, spontaneous symmetry breaking and the highs mechanism.

13

Condensed matter physics I , II

Many-body system of electrons and protons, the hydrogen molecules system, the solid

metal state of hydrogen molecules system, the solid metal state of hydrogen, common

metals, electron Fermi liquid, electrical and thermal conductivity of metals. The

scattering processes in metals, metals in the presence of magnetic field, magnetic

permeability and the effect of Di has van alfen, quantum effects in the electrical

conductivity, sound absorption in metals, the methods of calculating the electron spectra

in metals, the quasi-potential method, non-metals, molecular crystals, the magnetic

properties of solids, spin polarization mechanism, magnetic properties of dilute alloys,

broken symmetry, super fluxes, adiabatic continuity and renormalization, quantum

solids, non-harmonic solids, renormalization group, accurate results in the kendo

problem. Phase transitions in two-dimensional systems, localization, scular theory for

localization, hall quantum effect, super conductivity, BCS theory, warm super

conductive.

14

Many body physics I

Second quantization, zero green function , DIC theory , Feynman diagrams, linear

reaction theory, non-zero green function, mat sobara green function, kobo formula for

electrical conductivity, canonical transforms, the square diagonal Hamiltonian,

independent bosons method, tomonoga method.

15

Many body physics II

Electron gas, exchange and correlation energy, high densities limit, dinger lattice,

dielectric function formulization, STLS method, sum rules, single excitation, multiple

and collective excitation, plasma fluctuations, density functional theory, habard method,

helium liquid, ground state properties and excitation spectrum of helium, landau theory

of Fermi liquids, helium superfluid,core boson wave functions and core Fermi wave

functions, Monte Carlo method, comparison of multi- particle techniques.

16

Super conductivity and super fluidity

BCS theory (ground state, thermodynamic and electrodynamics properties of

superconductor), self-consistent field method, bogoliobuf equations, landau-Ginsberg

phenomenological equations, hot superconductivity ( investigation of experimental and

theory Cal properties from physical stand point), helium super fluidity 3,4 .

17

Advanced topics in magnetic

Magnetic susceptibility, fluctuation theory, dissipation, magnetic Hamiltonian, the static

susceptibility, no interaction and the interaction devices, dynamical susceptibility of

systems with weak and strong interaction, magnetic impurity, Kondo effect, RKKY

interaction, spin glasses.

18

Liquid crystals physics

Anisotropic fluids, the long and short range regularity in the nematics, the static

distortion in the nematic single crystal, defects and textures in the nematics, dynamic

properties of the nematics, cholesterics, smactics.

19

Theatrical basics in the Quantum mechanics

Review of mathematics formalism in quantum mechanics, formalism of density matrix,

EPR experiment, quantum inseparability, final variables, fon-noyman theorem, retro

diction problem of measuring theories, bell inequality, koshen-spoker paradox, quantum

logic .

20

Philosophical basics in quantum mechanics

Semi-classical interpretations, uncertainty relations, maklit, - bose- Einstein debates,

EPR reasoning and its philosophical results, final variables and their bugs, bell

activities, quantum logic, the statistical interpretation of quantum mechanics, measuring

problem.

21

General relativity I , II

Physical basics, mathematics basics (tensor analysis, differential geometry, Riemannian

geometry, Einstein's gravity theory, Schurz – child metric and its kruskal extension, ker

metric, experimental tests of general relativity theory, ultra- Newtonian approximation,

general relativistic cosmology, the stars structure and falling, gravity, black holes and

singularity of general relativity, formalization of classic fields theory, gravity in less

than four dimensions, recent advances.

22

Cosmology I , II

Observational cosmology, galaxies and their variants, radio sources and quasars,

collections and galaxy super collections, cosmological principle, Robertson – vaker

metric.

Measuring world distances, hobble rules, anisotropy of the hubble flow, distribution of

matter in the near distance, counting galaxies and quasar, large-scale . manufacturing of

the world λ , general relativity and cosmology, general relativity field equations in

cosmology, cosmology model and cosmology models with sentence, freedman models,

the standard model and its fundamental problems, steady-state theory, large numbers

hypothesis. Evolution of galaxies, janes mass in the universe in expansion, growth of

structures in the post-combination. New theories of galaxy formation, big bang

remnants, the early universe and its thermody namics, initial neutrinos, the ratio of

neutrons to protons, synthesis of helium and other nuclei, terrestrial comic rays,

cosmology and particle physics, grand unification theories and its importance in

cosmology inflationary model of the early of the early universe and solve the

fundamental problems of the standard model, density fluctuations in the inflationary

universe and the big build, new developments.

23

Advanced astrophysics I , II

1- Principles of observation : stellar populations, stars distance HR graph.

2- Stellar interiors physics : opacity and heat transfer, hydrostatic equilibrium,

nuclear fusion.

3- Stars space

4- Poly propane's and homologous models

5- Stellar evolution : pre-main sequence, main sequence, giants category, horizontal

category.

6- Astrophysics of neutron

7- Stars evolution in the binary systems : turn model, discrete systems, semi-discrete

systems, continuous systems, paies of solar eclipse and spectral.

24

Advanced nuclear physics I

General properties of nuclei: nuclei and nuclear states - the nucleus - the nucleus - the

nuclear binding energy - ISO load scenarios and the effects of Coulomb - nuclear decay

mode of the hub.

Independently moving particles without interacting Fermi gas - a spherical symmetric

potential wells - wells potential for particles with spin 1/2 - evidence for the core layer -

model Bakouplazh jj - optical potential - Nilsson model (modified potential wells)

Nucleon potential independent anti-symmetric states of nucleons - interacting Fermi gas

bearing - Modified Delta Interaction layer, Harter theory / seals - for finite nuclei -

Harter / Fock pair potentials and Beauty Bar.

Layer model coupling: coupling and the coupling strength - depending layers and

stimulate particle - particle.

Models set the transformation - symmetrical gig - Vibration - oval nuclei - coupling

between the modes of collection.

25

Advanced nuclear physics II

Fundamentals of nuclear reactions: Reactions - elastic channel - the resonant behavior

of the reaction threshold - describes the coupled channels (matrix S) – two channel

scattering problem .

Reaction mechanisms is simple: the approximation at high energies - Gelauber

approximation to atomic number - the image projected nuclear reactions - Direct

Response - resonance - Nuclear Complex .

Electromagnetic interaction: a multipolar expansions - the quantization of

electromagnetic radiation - radiation possibilities - experimental situation - nuclear

reactions photon - in other electromagnetic processes and measurements.

26

Relativistic Quantum Mechanics

Relativistic wave equation for a particle with zero spin - wave equation for a particle

with spin 1/2 - Properties of Dirac Spinours - Dirac particle in an external field - cavity

theory – equations weyl - Wave equation for particles with arbitrary spin - Lurnetisi

reliability and relativistic symmetry principles.

27

Physics of critical phenomena

Review of thermodynamics - thermodynamic phase transition - a variety of phase

transitions and critical points of Thermodynamics - Overview of statistical mechanics -

phase transitions and critical points in statistical mechanics - the theory of Landau /

Gynzbvrg - changing the scale and opening Behanjaresh - solve a system disorders in

the critical to the € - systems sample.