Table of Contents
Acknowledgments v
Prologue vii
I Propagator Methods 1
1 Basic Quantum Mechanics 1
2 The Propagator 6
3 Harmonic Oscillator Propagator 14
4 Time-dependent Perturbation Theory 27
5 Propagator as the Green's Function 37
6 Functional Techniques* 39
II Scattering Theory 51
1 Basic Formalism 51
2 The Optical Theorem 64
3 Path Integral Approach 70
4 Two-Body Scattering 73
5 Two-Particle Scattering Cross Section 76
7 Scattering Matrix 85
8 Partial Wave Expansion 92
III Charged Particle Interactions 99
1 Charged Particle Lagrangian 99
2 Review of Maxwell Equations and Gauge Invariance 103
3 The Bohm-Aharonov Effect 111
4 The Maxwell Field Lagrangian 116
5 Quantization of the Radiation Field 123
6 The Vacuum Energy* 126
IV Charged Particle Interactions: Applications 133
1 Radiative Decay: Formal 133
2 Radiative Decay: Intuitive 135
3 Angular Distribution of Radiative Decay 140
4 Line Shape Problem: Wigner-Weisskopf Approach 149
5 Compton Scattering via Feynman Diagrams 158
6 Resonant Scattering 164
7 Line Shape via Feynman Diagrams 174
8 The Lamb Shift 178
9 Dispersion Relations 186
10 Effective Lagrangians* 195
11 Complex Energy and Effective Lagrangians* 203
V Alternate Approximate Methods 211
1 WKP Approximation 211
2 Semiclassical Propagator 215
3 The Adiabatic Approximation 232
4 Berry's Phase 247
VI The Klein-Gordon Equation 259
1 Derivation and Covariance 259
2 Klein's Paradox and Zitterbewegung 269
3 The Coulomb Solution: Mesonic Atoms 274
VII The Dirac Equation 281
1 Derivation and Covariance 281
2 Bilinear Forms 291
3 Nonrelativistic Reduction 294
4 Coulomb Solution 305
5 Plane Wave Solutions 308
6 Negative Energy Solutions and Antiparticles 321
8 Dirac Propagator 332
9 Covariant Perturbation Theory 338
10 Electromagnetic Interactions 346
VIII Advanced Topics 369
1 Radiative Corrections 369
2 Spinless Particles: Electromagnetic Interactions 395
3 Path Integrals and Quantum Field Theory* 402
4 Pion Exchange and Strong Interactions* 411
Epilogue 427
Notation 428
References 432
Index 435
