| SES # | TOPICS | SUBTOPICS |
|---|---|---|
| 1 - 8 | Time-dependent Perturbation Theory and Applications to Radiation | Time-dependent Potentials Exactly Soluble 2-State Problem Time-dependent Perturbation Theory First Order Perturbation Theory - Fermi's Golden Rule Coupling to Radiation Field Absorption Cross-section Photoelectric Effect Quantization of Transverse EM Field E1 Spontaneous Emission Higher Multipole Transitions Planck's Radiation Law Damping and Natural Line Width Adiabatic Theorem and Berry's Phase |
| 9 - 16 | Symmetry in Quantum Mechanics | Symmetry Groups in QM Parity Time Reversal Lattice Translation as a Discrete Symmetry - Bloch's Theorem; Tight-binding Approximation; Basic Band Theory Identical Particles (2 Particles) - Permutations; Spin Statistics; Pauli Exclusion; Helium; Central Field Approximation; Hartree Equations N > 2 Identical Particles and the Symmetric Group - Permutation Group SN; Representation Theory of SN; Young Diagrams and Tableaux with Applications to Representation Theory of SU(N), SN; Applications: Quarks, Multi-electron Atoms |
| 17 - 22 | Scattering | General Framework for Scattering Theory Lippman-Schwinger Born Approximation Optical Theorem Spherical Waves Partial Wave Scattering Low-energy Scattering, Bound States, Resonances Coulomb Scattering |
| 23 - 26 | Relativistic Quantum Mechanics | Basics of Special Relativity Klein-Gordon Equation Dirac Equation Relativistic Particles and Group Theory Solutions to Dirac: Free Particle, Relativistic Hydrogen Atom |