| Week |
Lect |
Date |
Topics |
Reading+Homework |
| 1 |
1-4 |
Jan. 6-10 |
Angular Momentum
Rotations in 2-dimensions
SO(2) and its generators
Rotations in 3-dimensions
|
Read : B6, page 690
HMWK : distributed Wednesday
|
| 2 |
5-8 |
Jan. 13-17 |
SO(3) Algebra
Transformation of Generators
Rotations about arbitrary axes
Euler Angles
|
HMWK : distributed Wednesday
|
|
3
|
9-12 |
Jan. 20-24
Holiday Jan. 20 (MLK) |
SO(3) in Quantum Mechanics
``D'' matrices
`` d '' matrices, j=1/2, 1
Orbital Angular Momentum
Spherical Harmonics
|r, theta, phi> basis
|
Read : Chapter 6, all
HMWK : distributed Wednesday
|
| 4 |
13-16 |
Jan. 27- 31 |
Intro to Ang. Mom. Addition
Projection Theorem
3-dim Schrodinger Eqn.
Diatomic Molecules
3-dim Harmonic Oscillator
|
|
| 5 |
17-20 |
Feb. 3-7 |
2-dim HO, SU(2) and SO(2) symmetry
Spinless Hydrogen Atom, Energy Levels, Degeneracy, etc
|
HMWK : distributed Friday
|
| 6 |
21-24 |
Feb. 10-14
Friday Feb. 14 = Midterm |
Runge-Lenz Vector
Creation, Anihilation Operators for H-atom
Angular Momentum Addition
|
Read :Chapter 10, page 999
HMWK : distributed Friday
|
| 7 |
25-26 |
Feb. 17-21
Holiday Feb. 17 (Presidents) |
Clebsch-Gordan Coefficients.
Tensor operators
|
|
| 8 |
27-29 |
Feb. 24-28 |
Wigner-Eckart Theorem
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 :Chapter 11, page 1094
Read :Chapter 12, page 1210
HMWK : distributed Monday
|
| 9 |
30-33 |
March 3-7 |
Fine-Structure and Hyperfine Structure
Variational Procedures : Feynman-Hellman Theorem
Time-Dependent Perturbation Theory
Electron Spin Resonance
|
Read :Chapter 12, page 1210
HMWK : distributed Monday
|
| 10 |
34-36 |
March 10-14 |
Fermi's Golden Rule
Harmonic Perturbations
Cross section for the absorption of EM quanta,
Dipole approximation, E1 sum-rule
Photo-Electric Cross section
|
Read :Chapter 13, page 1283
HMWK : distributed Monday
|
|
11
|
|
Finals Week : March 18-22
Final Exam
10:30-12:20 a.m Tuesday, March 18
Room C421
|
|
|
