| Week |
Lect |
Date |
Topics |
Reading+Homework |
| 1 |
1-4 |
Jan. 7-11 |
Angular Momentum
Rotations in 2-dimensions
SO(2) and its generators
Rotatations in 3-dimensions
|
Read : 3.1 (Sakurai)
Assignment 1 distributed, due next wednesday
|
| 2 |
5-8 |
Jan. 14-18 |
SO(3) Algebra
Transformation of Generators
Rotations about arbitrary axes
Euler Angles
SO(3) in Quantum Mechanics
``D'' matrices
|
Read : 3.3 , 3.5 (Sakurai)
Assignment 2 distributed, due next wednesday
|
|
3
|
9-12 |
Jan. 21-25
Holiday Jan. 21 |
`` d '' matrices, j=1/2, 1
Orbital Angular Momentum
Spherical Harmonics
|r, theta, phi> basis
|
Read 3.6 (Sakurai)
|
| 4 |
13-16 |
Jan. 28- Feb. 1 |
Intro to Ang. Mom. Addition
Projection Theorem
3-dim Schrodinger Eqn.
Diatomic Molecules
3-dim Harmonic Oscillator
|
Read 3.8 , Appendix A5 (Sakurai)
Assignment 3 distributed Monday
|
| 5 |
17-20 |
Feb. 4-Feb. 8 |
2-dim HO, SU(2) and SO(2) symmetry
Spinless Hydrogen Atom, Energy Levels, Degeneracy, etc
Runge-Lenz Vector
|
Read 3.10 , Appendix A6 (Sakurai)
Assignment 4 distributed Wednesday
|
| 6 |
21-24 |
Feb. 11-15
Friday Feb. 15 = Midterm |
Creation, Anihilation Operators for H-atom
Angular Momentum Addition
Clebsch-Gordan Coefficients.
|
Read 3.7 (Sakurai) |
| 7 |
25-26 |
Feb. 18-22
Holiday Feb. 18 |
Wigner-Eckart Theorem
Isospin
|
Read 3.10
Assignment 5 distributed Wednesday
|
| 8 |
27-29 |
Feb. 25-March 1 |
Time-Independent, Non-Degenerate Perturbation Theory
Time-Independent, Degenerate Perturbation Theory
Linear and Quadratic Stark Effects
Fine-Structure of the H-atom : Spin-Orbit and Relativistic Effects
|
Read 5.1
Assignment 6 distributed Wednesday
|
| 9 |
30-33 |
March 4-8 |
Fine-Structure and Hyperfine Structure
Variational Procedures : Feynman-Hellman Theorem
Time-Dependent Perturbation Theory
Electron Spin Resonance
|
Read 5.3, 5.4
Assignment 7 distributed Wednesday
|
| 10 |
34-36 |
March 11-15 |
Fermi's Golden Rule
Harmonic Perturbations
Cross section for the absorption of EM quanta,
Dipole approximation, E1 sum-rule
Photo-Electric Cross section
|
Read 5.5 , 5.6, 5.7, 5.8
Assignment 8 distributed Wednesday
|
|
11
|
|
Finals Week : March 18-22
Final Exam
8:30-10:20 a.m Monday, March 18
|
|
|
