73 syllabus
INSTITUTE OF MATHEMATICAL SCIENCES AND PHYSICS
College of Arts and Sciences University of the Philippines Los
BaosCourse
PHYSICS 83 (FUNDAMENTAL PHYSICS III)
Credit Units
5 units
Course Description
Special theory of relativity, wave and quantum mechanics, atomic
structure, condensed matter and nuclear physics
Prerequisite
Physics 82, Math 38
ReferencesUNIVERSITY PHYSICS, 12th Edition by Young and
FreedmanIntroduction to Quantum Mechanics, 2nd Edition, David
Griffiths
Course Goal
The course aims to develop the students ability to
systematically solve a wide variety of problems on the fundamentals
of modern physics
Course Requirements3 Long Examinations60 %
Recitation20 %
Final Examination20 %
TeacherName: Dr. Anthony Allan D. VillanuevaFaculty Room:
C205Consultation Schedule: Tue&Thu 1:30 PM-5 PM, Wed&Fri
3:30-5 PM Email: [email protected]
COURSE POLICIES:
1. You are required to take all three of the long exams. There
is no cancel the lowest exam policy. All three long exams are used
to compute your long exam average.
2. A student may be exempted from taking the final exam if all
of the following conditions are satisfied:
(1) passed all long exams(2) has an average recitation score of
80% or better(2) has an average long exam score of 80% or betterAn
exempted students final exam grade will be the average of the long
exams
3. Please bring an ID during every exam. NO ID NO EXAM 4. If a
student misses an exam or recitation for whatever reason, his grade
is zero for that requirement. NO MAKE UPS are given. 5. A grade of
4.0 means conditional and that you will have to take the removal
exam within a year. Completion period is within one year.6. If a
student exceeds 3 ABSENCES IN THE LECTURE CLASS and MAJORITY OF THE
ABSENCES ARE UNEXCUSED, he/she will be automatically be given a
grade of 5.0.
7. There is NO FORCED DROP. The lecturer will only give the
student a grade of DRP upon receiving the processed dropping or
Leave of Absence (LOA) form. Otherwise, a grade of 5.0 is
given.
8. A student granted an LOA will only be given a grade of either
DRP or 5.0. A grade of 5.0 is given if the LOA is granted AFTER OF
THE SEMESTER HAS LAPSED and the students CLASS STANDING IS FAILING;
otherwise a grade of DRP is given.
9. ANY FORM OF CHEATING in reports or ACT OF DISHONESTY in
relation to his/her studies WILL BE SUBJECTED TO DISCIPLINARY
ACTION. A student found GUILTY OF CHEATING will be penalized in
accordance to University Rules.
10. Observe courtesy during exams and class hours by turning off
all electronic gadgets. 11. Students are required to join the
Physics 83 Yahoo group at this URL
http://groups.yahoo.com/group/phys83_1sem2012/for quick
dissemination.COURSE COVERAGE
lecture
hour Objectives
After the discussion and lined up activities, you should be able
to:Topics
1 Explain what is expected of you to get good marks in this
class
Explain the expected role of your teacher
Explain the expected role of your book
Explain the expected role of your lecture classes
Orientation
Read: syllabus, and Young and Freedman, 12th ed pp vii- viii
RelativityChapter 37: relativity
2 Define an inertial reference frame.
State the Principle of Relativity.
Explain Einsteins Postulates. Given two inertial frames in
relative motion, relate the measured positions and velocities in
one inertial frame to the measured positions and velocities in the
other inertial frame using the Galilean transformation
equations.
Einsteins Postulates
Galilean Coordinate TransformationGalilean Velocity
Transformation
Read Section 37.1
3 Define an event
Explain the relativity of simultaneity
Define the proper time between two events
Given a physical situation involving relativistic motion, apply
definitions of proper time to draw qualitative and quantitative
conclusions regarding time intervals
EventsRelativity of Simultaneity
Proper TimeRelativity of Time Intervals
Read Sections 37.2 and 37.3
4 Define the proper length between two events
Given a physical situation involving relativistic motion, apply
definitions of proper length to draw qualitative and quantitative
conclusions regarding lengths
Length Contraction
Read Section 37.4
5 Relate Galilean and Lorentz transformations.
Given two inertial frames in relative motion, relate the
measured positions and velocities in one inertial frame to the
measured positions and velocities in the other inertial frame using
the Lorentz transformation equations.
Lorentz Coordinate TransformationLorentz Velocity
Transformation
Read Section 37.5
6 Given a physical situation involving relativistic motion,
apply the relativistic Doppler effect equation to draw qualitative
and quantitative conclusions regarding frequency and velocity.
Relativistic Doppler Effect
Read Section 37.6
7 Calculate the relativistic momentum of a particle given its
velocity. Solve problems involving conservation of momentum.
Relativistic Momentum
Read Section 37.7
8 Calculate the relativistic total energy of a particle given
its rest mass and velocity. Calculate the relativistic kinetic
energy of a particle given its rest mass and velocity. Calculate
the relativistic rest energy of a particle given its rest mass.
Solve problems involving conservation of energy.
Relate the total energy, momentum and rest mass of the
particle.
Relativistic Energy
Rest Energy
Read Section 37.8
9 Relate the results of relativity theory with Newtonian
mechanics
Discuss the correspondence principleNewtonian Mechanics and
Relativity
Correspondence Principle
Read Section 37.9 and the essay The Relativity of Wrong by Isaac
Asimov at
http://chem.tufts.edu/AnswersInScience/RelativityofWrong.htm
QUANTUM PHYSICSChapter 38: PhotonS, Electrons, and Atoms
10 Discuss the photoelectric effect.
Solve for either maximum kinetic energy of the emitted
electrons, work function or threshold frequency once the other two
are known.
Solve for the energy of a quanta of light given its frequency
and vice-versa.
Solve for the momentum of light given its wavelength and
vice-versa.
Photoelectric Effect
Photon Momentum and Energy
Read: 38.1, 38.2
11 Discuss the how photons are absorbed and emitted by hydrogen
atoms. Relate the hydrogen spectrum with photon
emission/absorption.
Atomic Line Spectra and Energy Levels
Hydrogen Spectrum
Read: 38.3, 38.4
12 Discuss the Rutherford model of the atom.
Discuss the postulates in Bohrs model of the atom.
Calculate the physical properties of hydrogen-like atoms using
the Bohr model.
Nuclear Model
Bohr Model
Read: 38.4, 38.5
13 Discuss how lasers work
Use conservation of energy to calculate the frequency and
wavelength of photons produced during x-ray production.Lasers
X-ray protons
Read: 38.6 and 38.7
14.
Solve for scattering wavelength of light when it collides with
matter.
Use the Compton scattering formula to relate the initial
wavelength to the final wavelength and scattering angle of the
photon
Compton Scattering
Read: 38.7
15 Define a blackbody Use the Stefan-Boltzmann equation to
calculate the intensity emitted by a blackbody
Discuss Plancks Quantum Hypothesis
Stefan-Boltzmann law
Plancks Quantum Hypothesis
Read: 38.8
FIRST EXAMINATIONJuly 24, 2012 (Tue)
Chapter 39: The Wave Nature of Particles
16 Discuss the de Broglie Hypothesis
Solve for the wavelength and frequency of a particle given its
momentum or kinetic energy.
Relate the de Broglie wavelength of an electron inside a Bohr
atomde Broglie WavesThe Bohr Model and de Broglie Waves
Read: 39.1
17 Discuss the significance of the Davisson-Germer experiment
Discuss single-slit electron diffractionElectron Diffraction
Read: 39.2
18 Use the Heisenberg uncertainty principle to estimate
uncertainties in position and momentum. Use the Heisenberg
uncertainty principle to estimate uncertainties in time and
energy
Uncertainty PrincipleUncertainty in Energy
Read: 39.3
19 Discuss the wave-particle duality of photons and
electronsDiffraction and Interference in the Photon Picture
Two-Slit Interference for Electrons
Read: 38.9 and 39.3
20 Calculate the sum (or difference) and product (or quotient)
of any two complex numbers
Calculate the conjugate and modulus of a given complex
number
Relate the Cartesian, polar and exponential representations of
complex numbers
Complex Numbers
Read: Chapter 1, R. Churchill, Complex Variables and
Applications
21 Discuss the Born Interpretation of the wave function
Compare the Time-Dependent and Time-Independent Schrodinger
equation
Define a stationary state.
Relate stationary states to solutions of the Schrodinger
equation
Wave Functions and the Schrodinger Equation(s)Born
Interpretation
Stationary States
Read: 39.5
Sections 1.1 and 1.2, Chapter 1, D. Griffiths, Introduction to
Quantum Mechanics
22 Verify that the free particle wave function satisfies the
Schrodinger equation
Solve for the physical properties of a free particle given its
wave function.
Discuss how wave packets represent a quantum particle
Wave Function of a Free Particle
Wave Packets
Read: 39.5
Section 2.4, Chapter 2, D. Griffiths, Introduction to Quantum
Mechanics
Chapter 40: Quantum Mechanics
23 Solve for the expectation value and variance of a discrete
probability distribution.
Solve for the expectation value and variance of a continuous
probability distribution.
Calculate probabilities using discrete and continuous
probability distributions.
Probability and Expectation values
Read: Section 1.3, Chapter 1, D. Griffiths, Introduction to
Quantum Mechanics
24 Define an energy eigenfunction
Define a superposition state Discuss the Principle of
Superposition
Normalize a wave function.
Energy EigenfunctionsSuperposition states
Principle of Superposition
Normalization
Read: Section 1.4 Chapter 1, D. Griffiths, Introduction to
Quantum Mechanics
Section 2.1 Chapter 2, D. Griffiths, Introduction to Quantum
Mechanics
25 Compute for the probability of measuring a given energy of a
particle using its wave function
Compute for the probability of locating a particle using its
wave function
Computing Probabilities with the Wave Function
26 Compute for the probability of measuring a given energy of a
particle in box using its wave function Normalize the wave function
for a particle in a box Compute for the probability of locating a
particle in a box using its wave function
Discuss how the wave function for a particle in a box evolves
over time
Particle in a Box
Energy levels
Normalization
Time Dependence
Read: 40.1 and Section 2.2 Chapter 2, D. Griffiths, Introduction
to Quantum Mechanics
27 Find the energy eigenfunctions of a finite square well and a
finite square well
Calculate the wavelengths of photons emitted or absorbed during
transitions between energy levels
Finite Square Well
Read: 40.2
28 Discuss quantum tunneling
Calculate for the probability of transmitting a quantum particle
into classically forbidden regions.
Discuss how changing the different physical parameters affect
the probability of transmission.
Potential Barrier and
Tunneling
Read: 40.3
29 Compute for the probability of measuring a given energy of a
harmonic oscillator using its wave function
Compare the classically allowable energies for a quantum
oscillator and a classical oscillator
Calculate the wavelengths of photons emitted or absorbed during
transitions between energy levels
The Harmonic Oscillator
Read: 40.4 and Section 2.3 Chapter 2, D. Griffiths, Introduction
to Quantum Mechanics
30 Define degeneracy
Determine the energy levels and energy eigenfunctions of a
particle in a three dimensional well and determine the degree of
degeneracy of each level.
Determine the energy levels and energy eigenfunctions of a
particle in a three dimensional harmonic potential, and determine
the degree of degeneracy of each level
Schrdingers Equation in Three Dimensions
Read: 40.5 and Section 5.3, Chapter 5, D. Griffiths, Quantum
Mechanics
SECOND EXAMINATIONSept 4, 2012 (Tue)
Chapter 41: Atomic Structure
31 Relate the Bohr model with the current model of the hydrogen
atom
Discuss the quantum numbers needed to describe the hydrogen atom
(principal, orbital and magnetic) Calculate the physical properties
of a hydrogen atom given its quantum numbers Calculate the
wavelengths of photons emitted or absorbed during transitions
between energy levels
Hydrogen AtomQuantization of the Orbital Angular Momentum
Read: 41.1
32 Relate the angular momentum of an electron to its magnetic
moment
Discuss the Zeeman effect for the hydrogen atom
Calculate the energy splitting due to the Zeeman effect
Distinguish allowed transitions from forbidden transitions using
selection rules
Zeeman Effect Selection Rules
Read: 41.2
33 Describe the results of the Stern-Gerlach experiment
Show how the Stern-Gerlach experiment leads to the need to
define the spin of an electron
Calculate the energy splitting due to the Zeeman effect that
includes the spin of the electron
Stern-Gerlach Experiment
Electron Spin
Read: 41.3
34 Determine how one can describe a system of many particles
using the Schrodinger equation
Differentiate a system of bosons from a system of fermions in
terms of their wave functions
Define the Pauli exclusion principle Apply the Pauli Exclusion
Principle to states of a system of many particles
Many Electron Atoms and the Exclusion Principle
Read: 41.4 and Section 5.1.1, D. Griffiths, Quantum
Mechanics
35 Discuss how x-ray spectra of atoms describe atomic
structure
Apply Moseleys law to atomic x-ray spectra
Moseleys Law and Atomic Energy Levels
X-Ray Absorption Spectra
Read: 41.5
Chapter 42: molecules and condensed matter36 Discuss the various
types of molecular bonds Calculate the rotational energy levels of
molecules Calculate the vibrational energy levels of molecules
Types of Molecular BondsMolecular Spectra
Read: 42.1 and 42.2
37 Discuss the common types of crystal lattices Discuss the
energy band concept Relate energy bands and the electrical
conductivity of a solid
Structure of SolidsEnergy Bands
Read: 42.3 and 42.4
38 Discuss the free-electron model of metals Calculate
probabilities using the Fermi-Dirac distribution Calculate the
energy of the free electrons according to the Free-Electron
Model
Free-Electron Model Fermi-Dirac Distribution
Free-Electron Energy
Read: 42.5
39 Define a semicondutor Discuss how doping improves the
conductivity of the semiconductor
Semiconductors
Read: 42.6
Chapter 43: nuclear Physics40 Relate key properties of atomic
nuclei, including radii, densities, spins and magnetic moments
Properties of Nuclei
Read: 43.1
41 Relate the binding energy of the nucleus to the number of
protons and neutrons that it contains
Nuclear Binding and Nuclear Structure
Read: 43.2
42 Discuss the ways in which unstable nuclei undergo radioactive
decay
Nuclear Stability and Radioactivity
Read: 43.3
43 Discuss the dependence of the decay rate of a radioactive
substance on time Discuss the biological hazards and medical uses
of radiation
Activities and Half-Lives
Biological Effects of Radiation
Read: 43.4, 43.5
44 Analyze types of nuclear reactions Discuss how nuclear
fission happens
Discuss how nuclear fusion happensNuclear Reactions
Nuclear Fission
Nuclear Fusion
Read: 43.6, 43.7, 43.8
THIRD EXAMINATIONOctober 9, 2012 (Tue)
Grading Systemgrade(%) 95.001.095.00 > grade(%)
90.001.2590.00 > grade(%) 85.001.585.00 > grade(%)
80.001.7580.00 > grade(%) 75.002.075.00 > grade(%)
70.002.2570.00 > grade(%) 65.002.565.00 > grade(%)
60.002.7560.00 > grade(%) 55.003.055.00 > grade(%)
50.004.050.00 < grade(%)5.0
