Phys623: Introduction to Quantum Mechanics II

Spring 2000, Section 0101, MARS #46877
WF 11:00-12:50, Room PHY 1402

Instructor: Dr. Ted Jacobson
Room 4117, Phone 301-405-6020,
Office hours: Tu,W 2:30-3:30. Feel free to drop in.

Teaching Assistant:
Hock-Seng Goh  ("Goh") 
Room  4221, Phone 301-405-7279, 
Office hours: W 10-11, Th 3-4

General course information

Textbook: G. Baym, Lectures on Quantum Mechanics (Harper-Collins), ISBN: 0-805-30667-6.

Reserve books: The books by Baym, Cohen-Tannoudji et. al.,  Landau & Lifshitz,  Sakurai,
and Schwabl are on reserve at EPSL.

Web pages: Homework assignments and supplementary material at, homework grades and solutions at

E-mail: I encourage students to make use of e-mail for quick correspondence with me regarding lecture material, homework problems, or whatever. I will also use e-mail to communicate with the class at large.

Homework: Assigned weekly and due the following week. Late homework accepted only under dire circumstances. If you know it will be impossible to turn in an assignment on time you must discuss this with me  in advance of the due date. The homework is an essential part of the course. I believe most of what you learn will come from doing the homework. You are encouraged to discuss the homework with others, but what you finally hand in should be your own work.  Sources (e.g. textbooks or classmates) should be cited when used heavily in a homework solution. Please make sure you include your name and the homework and course numbers and staple the pages together.

Exams: One two-hour mid-term and a final. The final is Friday,  May 19, 8:00am-10:00am.

Grading:  Based on homework (30%), one mid-term (30%), and final (40%),
with the best of  these raised by 20%  and the worst two lowered by 20%.
The lowest two homework scores will be dropped. I cannot say for sure in advance,
but I expect the letter grades to correspond to (roughly) (A) 100-80%, (B) 80-60%, (C) 60-40%.

Topics to be covered
                                                                                         If time is available, some or all of:
-WKB approximation 
-variational method 
-stationary state perturbation theory 
-addition of angular momenta 
-vector & tensor operators 
-time dependent perturbation theory 
-interaction of matter & radiation 
-quantized electromagnetic field 
-parity and time reversal symmetry 
-Dirac equation 
-theory of measurement 
-path integral formulation 

Calendar (with topics covered, minutes, supplements, & homework)
Week &  Notes Wednesday  Friday  HW & Suppts.
1.      2/2 stationary state 
perturbation theory
stationary state 
perturbation theory
Perturbation theory
2.      2/9 stationary state 
perturbation theory
second order pert., 
variational method, 
3.      2/16 WKB add'n of ang. mom. hw3
4.      2/23 add'n of ang. mom. vector & tensor ops., 
Wigner-Eckart thm.
Irreducible tensor ops.
5.      3/1 Wigner-Eckart thm., 
projection thm., Lande factor
hyperfine structure, 
2 electron atoms
6.      3/8 2 electron atoms; 
many electron atoms; 
Hund's rules
Hund's rules; 
spin-orbit coupling for many-electron atoms; 
Hartree-Fock; Thomas-Fermi
7.      3/15 Thomas-Fermi; 
density functional method
8.      3/30 molecules, discuss midterm molecules hw6
9.      4/5 molecules time-dependent pert. thy. hw7
10.    4/12 time-dep. pert. thy. golden rule
11.    4/19 adiabatic theorem, 
radiative transitions, 
quantum electrodynamics
Einstein's 1917 paper, 
Casimir effect
12.    4/26 QED, 
longitudinal and transverse vector fields
multipole expansion, 
selection rules
13.    5/3 scattering, 
Golden rule and Born
validity of first Born approx., 
partial wave expansion
14.    5/10 partial wave expansion low energy scattering, 
bound states, scattering length
  FINAL EXAM: Fri. 5/19, 8:00-10:00 am .