Topics In Advanced Quantum Mechanics

* Prologue Propagator Methods * Basic Quantum Mechanics * The Propagator * Harmonic Oscillator Propagator * Time Dependent Perturbation Theory * Propagator as the Greens Function * Functional Techniques Scattering Theory * Basic Formalism * The Optical Theorem * Path Integral Approach * Two-Body Scattering * Scattering of Identical Particles * Scattering Matrix * Partial Wave Expansion Charged Particle Interactions * Charged Particle Lagrangian * Review of Maxwell Equations and Guage Invariance * The Bohm-Abaronov Effect * The Maxwell Field Lagrangian * Quantization of the Radiation Field * The Vacuum Energy Charged Particle Interactions: Applications * Radiative Decay: Formal * Radiative Decay: Intuitive * Angular Distribution of Radiative Decay * Line Shape Problem: Wigner-Weisskopf Approach * Compton Scattering via Feynman Diagrams * Resonant Scattering * The Lamb Shift * Dispersion Relations * Effective Lagrangians * Complex Energy and Effective Lagrangians Alternate Approximate Methods * WKB Approximation * Semiclassical Propagator * The Adiabatic Approximation * Berrys Phase The Klein-Gordon Equation * Derivation and Covariance * Kleins Paradox and Zitterbewegung * The Coulomb Solution: Mesonic Atoms The Dirac Equation * Derivation and Covariance * Bilinear Forms * Nonrelativistic Reduction * Coulomb Solution * Plane Wave Solutions * Negative Energy Solutions and Antiparticles * Perturbation Theory: Introduction * Dirac Propagator * Covariant Perturbation Theory * Electromagnetic Interactions Advanced Topics * Radiative Corrections * Spineless Particles: Electromagnetic Interactions * Path Integrals and Quantum Field Theory * Pion Exchange and Strong Interactions * Epilogue