The readings assigned for selected lectures are listed below. Readings were mostly assigned from the course textbook, unless indicated otherwise.
[C-T,D,L-1] = Cohen-Tannoudji, C., B. Diu, and F. Laloë. Quantum Mechanics. Vol. 1 (pp.1-891). Wiley-VCH, 1st edition, 1992. ISBN: 9780471569527.
[C-T,D,L-2] = Cohen-Tannoudji, C., B. Diu, and F. Laloë. Quantum Mechanics. Vol. 2. (pp.901-1517). Wiley-VCH, 1st edition, 1991. ISBN: 9780471164357.
Ses # | topics | readings |
---|---|---|
1-9: One-Dimensional Problems | ||
2 | Infinite Box, \(\delta(x)\) Well, \(\delta(x)\) Barrier | [C-T,D,L-1] pp. 21–24, 28–31. |
5 | Continuum Normalization | [C-T,D,L-1] pp. 103–107, [C-T,D,L-2] pp. 1468–76. |
9 | Numerov-Cooley Method: 1-D Schrödinger Equation | [C-T,D,L-1] pp. 94–121. |
10-19: Matrix Mechanics | ||
10 | Matrix Mechanics | [C-T,D,L-1] pp. 121–144. |
13 | End of Matrix Solution of H-O, and Feel the Power of the a and a† Operators | [C-T,D,L-1] pp. 488–508. |
14 | Perturbation Theory I; Begin Cubic Anharmonic Perturbation | [C-T,D,L-2] pp. 1095–1107, 1110–1119. |
18 | Variational Method | [C-T,D,L-2] pp. 1148–1155, [C-T,D,L-1] pp. 252–263, 295–307. |
19 | Density Matrices I; Initial Non-Eigenstate Preparation, Evolution, Detection | [C-T,D,L-1] pp. 153–163, 199–202, 290–294. |
20-29: Central Forces and Angular Momentum | ||
20 | Density Matrices II; Quantum Beats; Subsystems and Partial Traces | [C-T,D,L-1] pp. 643–652. |
22 | 3-D Central Force Problems II; Levi-Civita | [C-T,D,L-1] pp. 643–660. |
27 | Wigner-Eckart Theorem | [C-T,D,L-2] pp. 999–1085, especially pp. 1048–1053. |
29 | Begin Many-Electron Atoms: Quantum Defect Theory | Ross, Stephen. “MQDT Primer” pp. 73–110 in Half Collision Resonance Phenomena in Molecules (AIP Conf. Proc. #225, M. Garciá-Sucre, G. Raseev, and S.C. Ross) 1991. DOI: https://doi.org/10.1063/1.40550 |
30-39: Many Particle Systems: Atoms, Coupled Oscillators, Periodic Lattice | ||
36 | Holes; Hund’s Third Rule; Landé g-Factor via W-E Theorem | [C-T,D,L-2] pp. 1156–1178. |
37 | Infinite 1-D Lattice I | [C-T,D,L-2] pp. 1156–1168. |
39 | One-Dimensional Lattice: Weak-Coupling Limit |
Baym, Gordon. Lectures on Quantum Mechanics. Benjamin Cummings Publishing Company, 1969. ISBN: 9780805306675. Read pages 237–241. |