5.73 | Fall 2018 | Graduate

Quantum Mechanics I

Readings

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.

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