Relativistic Quantum Mechanics of Leptons and Fields

1 Nonrelativistic Quantum Mechanics.- A. Review of the Formalism.- Space-Time Symmetries.- The Spinor Representation.- B. Electromagnetic Fields and Spin.- Inclusion of the Spin.- Uniform Magnetic Field.- C. The Two-Body Problem.- D. A Preliminary Next Step.- Problems.- References.- 2 The Dirac Equation.- A. Spacetime Structure and Lorentz Transformations.- The Homogeneous Lorentz Group.- Spinors Revisited.- B. Dirac's Way.- Properties of the Dirac Matrices.- Relativistic Covariance.- Free-Particle Solutions.- Negative-Energy States.- Observables and Wavepackets.- C. Zitterbewegung.- Problems.- References.- 3 Electromagnetic Coupling.- A. External Electromagnetic Fields.- Nonrelativistic Limit.- Central Fields.- The Coulomb Field.- Continuous Spectrum.- Strong Fields.- Electromagnetic Structure.- B. Discrete Symmetries.- Space Reflection (Parity).- Time Reversal.- Charge Conjugation.- Symmetry Breaking.- Problems.- References.- 4 Neutral Fermions and Bosons.- A. Neutral Fermions.- Massless Particles.- B. Theory of the Neutrino.- The Weyl Theory.- The Four-Component Neutrino.- Lepton Families.- C. Boson Wave Equations.- Spin-0 Bosons.- Spin-1 Bosons.- The Photon.- Problems.- References.- 5 Further Electromagnetic Interactions.- A. Electromagnetic Plane Waves.- B. Uniform Static Magnetic Field.- The Heisenberg Equations and Spin.- Stationary States.- Inclusion of the Anomalous Moment.- C. Other External-Field Problems.- Linear Potentials.- Crossed Electric and Magnetic Fields.- Summary of Further Results.- D. Quasi-Static Particle-Particle Interactions.- Anomalous Moment in a Coulomb Field.- Charged Magnetic Dipole Field.- The General Eigenvalue Problem.- Relativistic Wave Equations.- Problems.- References.- 6 Lagrangian Formulation and Green Functions.- A. Lagrangian Field Theory.- The Electromagnetic Field.- B. Boson Fields.- Electromagnetic Field.- C. Propagator Theory.- The Relativistic Propagator.- D. Coulomb Green Functions.- Summary.- Free-Particle Reduction.- Problems.- References.- Chapter7 Quantum Theory of Radiation.- A. Quantum Field Theory.- Quantum Electrodynamical Results-A Survey.- Critique.- B. Maxwell-Dirac Field Theory.- Free Fields.- Interacting Fields.- Critique.- Problems.- References.- Chapter8 The Two-Body Problem.- A. Equations of Motion.- Self-Energy and Radiative Effects.- Relative and Center-of-Mass Motions.- Angular-Radial Separation.- Radial Equations.- B. Analysis of the Radial Equations.- Perturbation Theory.- C. Applications.- Hydrogen.- Muonium.- Positronium.- The Annihilation Contribution.- Problems.- References.- Chapter9 Dirac Scattering Theory.- A. Nonrelativistic Review.- The Two-Body Problem.- Spherical Symmetry.- B. Two-Component Pauli Theory.- Spin-1/2-Spin-0.- Spin-1/2-Spin-1/2.- Particle Beams.- Helicity Formulation.- C. Relativistic Scattering.- Coulomb Scattering of Electrons.- Polarization of Dirac Particles.- D. Covariant Scattering Formalism.- Spin-1/2-Spin-0.- Spin-1/2-Spin-1/2.- Problems.- References.- Chapter10 Quantum Electrodynamics.- Electromagnetic Field.- Dirac Field.- A. Schwinger's Synthesis.- B. Selected Applications.- Uniform Magnetic Field.- Synchrotron Radiation.- Coulomb Field.- Vacuum Polarization.- Problems.- References.- Classical Theory of the Electron.... Mehr