QUANTUM II Lecture Coverage

Week 1

• Monday, Jan. 13, Hydrogen atom in magnetic field (C-T: comp. C_VII)
• Wednesday, Jan. 15, Total angular momentum - two spin 1/2's (C-T: chap. X §A,B)
• Friday, Jan. 17, Addition of angular momenta - two spin 1's (C-T: chap. X §C)

Week 2

• Monday, Jan. 20, MLK day, no class
• Wednesday, Jan. 22, Clebsch-Gordon coefficients. Spherical harmonic identities (C-T: comp. B_X, C_X)
• Friday, Jan. 24, Tensor operators, Wigner-Eckart theorem and projection theorem, Lande g-factors of atomic levels (C-T: comp. D_X)

Week 3

• Monday, Jan. 27, Evolution of coupled angular momenta (C-T: comp. F_X)
• Wednesday, Jan. 29, Nondegenerate perturbation theory (C-T: chap. XI §A,B)
• Friday, Jan. 31, Degenerate perturbation theory (C-T: chap. XI §C)

Week 4

• Monday, Feb. 3, Second order nondegenerate perturbation theory, noncrossing rule
• Wednesday, Feb. 5, van der Waals interaction (C-T: comp. C_XI)
• Friday, Feb. 7, Symmetry group representation theory (L&L: chap. XII)

Week 5

• Monday, Feb. 10, Crystal field splitting
• Wednesday, Feb. 13, Variational method, subspace diagonalization (C-T: comp. E_XI)
• Friday, Feb. 15, Lecture canceled, makeup lecture will be placed online.

Week 6

• Monday, Feb. 17, Midterm Exam #1
• Wednesday, Feb. 19, Linear Combination of Atomic Orbitals (LCAO) method (C-T: comp. G_XI) and tight binding
• Friday, Feb. 21, Nearly free electron approximations (C-T: comp. F_XI)

Week 7

• Monday, Feb. 24, Fine and hyperfine structure (C-T: chap. XII)
• Wednesday, Feb. 26, WKB method (L&L: chap. VIII)
• Friday, Feb. 28, WKB boundary matching. Bohr-Sommerfeld quantization

Makeup lecture (recorded) Identical particles and permutations (C-T: chap. XIV §A,B) recording (passcode VNzPh7&% if needed), notes

Spring Break March 3-7

Week 8

• Monday, March 10, Symmetrization and antisymmetrization postulates (C-T: chap. XIV § C)
• Wednesday, March 12, Multielectron atoms, Helium, Exchange interaction (C-T: comp. A&B_XIV)
• Friday, March 14, Quantum ideal gas (C-T: comp. C_XIV)

Week 9

• Monday, March 17, Noninteracting electron gas. Heat capacity (Kittel: Ch. 6)
• Wednesday, March 19, Pauli/Brillouin/Stoner magnetism (Kittel: Ch. 11)
• Friday, March 21, Differential and integral scattering equations (C-T: chap. VIII § A&B)

Week 10

• Monday, March 24, Midterm Exam #2
• Wednesday, March 26, No class, prof. out of town
• Friday, March 28, Born approximation solution to scattering equation

Week 11

• Monday, March 31, Partial wave scattering theory (C-T: chap. VIII § C)
• Wednesday, April 2, Partial wave scattering examples: low energy hard sphere, weak potential Born approximation (C-T: comp. C_VIII)
• Friday, April 4, Spring Carnival, no class

Week 12

• Monday, April 7, Time-dependent perturbation theory. Example, constant perturbation. (C-T: chap. XIII)
• Wednesday, April 9, Sinusoidal perturbation. Subspace approximation.
• Friday, April 11, Atom/wave interaction. Matrix elements and selection rules.

Week 13

• Monday, April 14, Transition to a continuum of final states
• Wednesday, April 16, Decay of state to a continuum, short time limit and exponential decay
• Friday, April 18, Fermi golden rule examples: alpha, beta and gamma decays

Week 14

• Monday, April 21, Adiabatic approximation
• Wednesday, April 23, Adiabatic conversion of neutrino flavors (MSW effect); sudden approximation
• Friday, April 25, Berry phase and the Ahranov-Bohm effect

Final Exam

• Monday, May 5, 5:30-8:30pm, Doherty Hall 1112

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