This graduate-level text is based on a course in advanced quantum mechanics, taught many times at the University of Massachusetts, Amherst. Topics include propagator methods, scattering theory, charged particle interactions, alternate approximate methods, and Klein-Gordon and Dirac equations. Problems appear in the flow of the discussion, rather than at the end of chapters. 1992 edition I. Propagator Methods -- 1. Basic Quantum Mechanics -- 2. The Propagator -- 3. Harmonic Oscillator Propagator -- 4. The Dependent Perturbation Theory -- 5. Propagator As The Green's Function -- 6. Functional Techniques -- Ii. Scattering Theory -- 1. Basic Formalism -- 2. The Optical Theorem -- 3. Path Integral Approach -- 4. Two-body Scattering -- 5. Two Particle Scattering Cross Section -- 6. Scattering Of Identical Particles -- 7. Scattering Matrix -- 8. Partial Wave Expansion -- Iii. Charged Particle Interactions -- 1. Charged Particle Lagrangian -- 2. Review Of Maxwell Equations And Gauge Invariance -- 3. The Bohm-aharonov Effect -- 4. The Maxwell Field Lagrangian -- 5. Quantization Of The Radiation Field -- 6. The Vacuum Energy -- Iv. Charged Particle Interactions: Applications -- 1. Radiative Decay: Formal -- 2. Radiative Decay: Intuitive -- 3. Angular Distribution Of Radiative Decay -- 4. Line Shape Problem: Wigner-weisskopf Approach -- 5. Compton Scattering Via Feynman Diagrams -- 6. Resonant Scattering -- 7. Line Shape Via Feynman Diagrams -- 8. The Lamb Shift -- 9. Dispersion Relations -- 10. Effective Lagrangians -- 11. Complex Energy And Effective Lagrangians -- V. Alternate Approximate Methods -- 1. Wkb Approximation -- 2. Semiclassical Propagator -- 3. The Adiabatic Approximation -- 4. Berry's Phase -- Vi. The Klein-gordon Equation -- 1. Derivation And Covariance -- 2. Klein's Paradox And Zitterbewegung 3. The Coulomb Solution: Mesonic Atoms -- Vii. The Dirac Equation -- 1. Derivation And Covariance -- 2. Bilinear Forms -- 3. Nonrelativistic Reduction -- 4. Coulomb Solution -- 5. Plane Wave Solutions -- 6. Negative Energy Solutions And Antiparticles -- 7. Perturbation Theory: Introduction -- 8. Dirac Propagator -- 9. Covariant Perturbation Theory -- 10. Electromagnetic Interactions -- Viii. Advanced Topics -- 1. Radiative Corrections -- 2. Spinless Particles: Electromagnetic Interactions -- 3. Path Integrals And Quantum Field Theory -- 4. Pion Exchange And Strong Interactions. Barry R. Holstein. Advanced Book Program. Includes Bibliographical References (p. [430]-432) And Index.
