Quantum Electrodynamics

PrefaceIntroductionChapter 1: The General Principles of Quantum Theory 1. The Postulates of Quantum Theory The Time Evolution of a System Causality 2. Symmetries 3. Canonical QuantizationChapter 2: Non-Relativistic Quantum Mechanics 4. The Quantum Mechanics of a Particle The Particle Propagator The Scattering Amplitude The S Matrix 5. The Many-Particle System Spin and Statistics Scattering in an External Potential The Occupation-Number Representation Creation and Annihilation Operators Field Operators Scattering and the S Operator The Theory of Propagators and Feynman DiagramsChapter 3: The Classical Theory of the Electromagnetic Field 6. The Tensor Description of the Electromagnetic Field and the Field Equations The Field Equations Transformation Laws Energy-Momentum Tensor of Electromagnetic Field The Conservation Laws 7. Canonical Formalism for the Electromagnetic Field The Generalized Poisson Brackets Canonical Transformations and Their Generators Poincaré Transformations as Canonical Transformations 8. The Electromagnetic Field with Sources Charged Fluid Charged Particles Magnetic Charges Charged Field 9. The Maxwellian Field Solution of the Initial-Value Problem and the Poisson Brackets Fourier Analysis of the Field Conformal Transformations The Maxwellian Field with External Sources The Radiation Field Multipole Radiation Radiation of a Point ParticleChapter 4: The Quantum Theory of the Electromagnetic Field 10. Canonical Quantization of the Electromagnetic Field The Poincaré Group as a Symmetry Group 11. Quantization of the Free Maxwellian Field Relativistic Invariance Photons Coherent States Coherence of Electromagnetic Radiation 12. The Interaction of the Quantum Electromagnetic Field with External Sources 13. The Formulation of the Quantum Theory of the Maxwellian Field with the Aid of Potentials The Classical Theory The Quantum Theory of the Free Field The Quantum Theory of the Electromagnetic Field with External Sources The Poincaré Group as the Symmetry Group of Amplitudes A Simple Representation of Transition Amplitudes Induced Processes in Intense Photon Beams Many-Photon Propagators 14. The Proca Theory The Classical Theory of a Vector Field with Mass The Quantum Theory of a Vector Field with Mass The S Operator in the Presence of External Sources 15. The Infrared CatastropheChapter 5: Relativistic Quantum Mechanics of Electrons 16. The Dirac Equation and the Symmetries of Its Solutions The Properties of Solutions of the Dirac Equation without Potential 17. Electron Scattering in the Electromagnetic Field Electron Wave Functions The Green's Functions for the Dirac Equation The Electron in a Static Electromagnetic Field The Properties of the S Matrix for an Electron in an External Field The Indistinguishability of Particles and the Vacuum-to-Vacuum Transition Amplitude 18. Electron Field Operators Creation and Annihilation Operators Field Operators Electrons in an External Electromagnetic Field The S Operator PropagatorsChapter 6: The Formulation of Quantum Electrodynamics 19. The General Postulates of Quantum Electrodynamics The Fundamental Dynamical Postulate 20. Perturbation Theory and Feynman Diagrams The General Principles of Constructing Feynman Diagrams Analysis of the Connectedness of Propagators 21.