Spring 2023  PHYS 415 D100
Quantum III (3)
Class Number: 1531
Delivery Method: In Person
Overview

Course Times + Location:
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 10:30–11:20 a.m.
Burnaby 
Exam Times + Location:
Apr 21, 2023
Fri, 8:30–11:30 a.m.
Burnaby

Instructor:
HoiKwan Lau
hoikwanl@sfu.ca

Prerequisites:
PHYS 385; either PHYS 384 or MATH 314. All prerequisite courses require a minimum grade of C.
Description
CALENDAR DESCRIPTION:
Wave mechanics in three dimensions; orbital angular momentum and spherical harmonics; central potentials, hydrogen atom; timeindependent perturbation theory, Stark effect, Zeeman effect; identical particles, helium atom; scattering, Born approximation; timedependent perturbation theory, interaction picture. Quantitative.
COURSE DETAILS:
Topics to be covered in the textbook.
Ch9 Two body problem
 Review classical and quantum mechanics
 Symmetries: translation Ch6 and Ch92, time evolution Ch4, rotation Ch95
 Rotational invariance Ch95, orbital angular momentum in position space Ch98, spherical harmonics, orbital angular momentum eigenfunction Ch99, and addition of angular momentum Ch99, Ch3, and Ch5
 Two body problem: conservation of P (relative and CM coordinates) Ch93, conservation of J Ch95, commuting observables Ch96
Ch10 Bound states of central potential
 Coulomb potential and Hydrogen atom Ch102
 Laguerre polynomials and eigenfunctions and eigenvalues of Hydrogen atom Ch101 and Ch102
 Energy level transition between principle quantum numbers Ch102
Ch11 Time independent perturbations
 The energy levels of Hydrogen Ch116
 Relativistic perturbations to the Hydrogen, LS coupling Ch115, non degenerate perturbation theory Ch111.
 Degenerate case Ch112, Stark Effect Ch113
 Zeeman Effect Ch117
 PaschenBack limit Ch117
 Dirac Equation – Fermions, half integer spin, positive and negative solution, particle and antiparticle (outside of the textbook).
Ch12 Identical Particles
 Indistinguishable particles and symmetrization postulate Ch121  Boson and Fermion, review of two electron system.
 The Helium Atom Ch122  excited states, para and ortho helium Ch122.
 Multielectron atoms and periodic table Ch123  electronic configuration and L, S, and J Ch123, Covalent Bonding Ch124
Finish Coulomb potential and back to Ch9
Quantum systems beyond Hydrogen atom
 Vibration and Rotation of a diatomic molecule Ch97
 The finite spherical well and the Deuteron Ch103 with Ch69 and Ch610.
 The infinite spherical well Ch104.
 The 3D Harmonic Oscillator Ch105.

Ch13 Scattering
 Rutherford's experiment with alphaparticles, asymptotic wave functions and the differential cross section Ch131, probability density Ch610.
 The Born approximation Ch132.
 The Yukawa potential Ch133.
 Partial wave expansion and phase shift analysis Ch134 and Ch135.

Ch14 Photons and Atoms
 The AharonovBohm effect Ch141.
 Introduction of canonical momentum Ch142 and Ch144, second quantization Ch143.
 Time dependent perturbation theory Ch145.
 Schrodinger vs Heisenberg picture, interaction picture Ch145.
 Fermi Golden Rule Ch146.
 Spontaneous Emission Ch147.
 KleinGordon equation – Bosons, more than one particle in a state with momentum P
Grading
 Midterm 30%
 Final Exam 40%
 Homework 30%
Materials
MATERIALS + SUPPLIES:
Required text: John S. Townsend, A modern approach to Quantum Mechanics.
Recommended reading lists: David J. Griffiths, Introduction to Quantum Mechanics; P. A. M. Dirac, The Principles of Quantum Mechanics.
REQUIRED READING NOTES:
Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/coursematerials/mypersonalizedcoursematerials.
Department Undergraduate Notes:
Students who cannot write their exam during the course's scheduled exam time must request accommodation from their instructor in writing, clearly stating the reason for this request, within one week of the final exam schedule being posted.
Registrar Notes:
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s1001.html