Quantum Theory II

Calendar

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