| 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 |