Physics 6330/7330
QUANTUM MECHANICS II
D. G. Ellis, Spring Semester 2011
Office: MH4027A
Phone: 419 530 4634
Email: David.Ellis@utoledo.edu
Office Hours: MWF 10:00-12:00
Course
Description
Book list
Link to last semester
General Plan
Working Outline
Problem
Set #1
Problem
Set #2
Problem
Set #3
Problem
Set #4
Problem
Set #5
Problem
Set #6
Part I: Symmetry
1. Translational Invariance and Momentum Conservation
2. Rotational Invariance and Angular Momentum Conservation
3. The Lie Algebra of O(3)
4. Combining Angular Momenta
5. Rotation Matrices
6. The Density Matrix
7. Density Matrix Examples
8. Position Probability Density
9. Tensor Operators and the Wigner-Eckart Theorem
Part II: Identical Particles and Atoms
10. Identical Particles
11. Electrons in Atoms
12. Energy Levels of Helium
13. Fine Structure and the Spin-Orbit Interaction
Part III: Approximation Methods
14. Variational Method for Ground States
15. The Variational Method: Theory
16. A Variational Calculation for Helium
17. The WKB Method
18. WKB Applications
Part IV: Electromagnetic Interactions
19. Electrodynamics
20. Semiclassical Radiation Theory
21. Dipole Transitions
22. Photoionization
Part V: Scattering Theory
24. Introduction to Scattering
25. Green's Function for Scattering
26. The Born Approximation
27. Partial Waves
28. Inelastic Scattering and Unitarity
29. Calculating Phase Shifts
30. Example
Case Study: Quantum Beats
Appendices
Big-O notation
Deck and Walker: Spin and Statistics
Curtis and Ellis: EBK Quantization
Time-dependent perturbation theory: Fermi's Golden rule #2
The Einstein A & B Coefficients
Effective Range Theory