Chapter 1 Classical Fields 1-1 Particles and fields 1-2 Discrete and continuous mechanical systems 1-3 Classical scalar fields 1-4 Classical Maxwell fields 1-5 Vector potentials in quantum mechanics Chapter 2 The Quantum Theory of Radiation 2-1 Classical radiation field 2-2 Creation, annihilation, and number operators 2-3 Quantized radiation field 2-4 Emission and absorption of photons by atoms 2-5 Rayleigh scattering, Thomson scattering, and the Raman effect . 2-6 Radiation damping and resonance fluorescence 2-7 Dispersion relations and causality 2-8 The self-energy of a bound electron; the Lamb shift Chapter 3 Relativistic Quantum Mechanics of Spin-~ Particles 3-1 Probability conservation in relativistic quantum mechanics 3-2 The Dirac equation 3-3 Simple solutions; nonrelativistic approximations; plane waves 3-4 Relativistic covariance 3-5 Bilinear covariants 3-6 Dirac operators in the Heisenberg representation 3-7 Zitterbewegung and negative-energy solutions 3-8 Central force problems; the hydrogen atom 3-9 Hole theory and charge conjugation 3-10 Quantization of the Dirac field 3-11 Weak interactions and parity noncon~elvation; the two-component neutrino Chapter 4 Covariant Perturbation Theory 4-1 Natural units and dimensions 4-2 S-matrix expansion in the interaction representation 4-3 First-order processes; Mott scattering and hyperon decay CONTENTS 4-4 Two-photon annihilation and Compton scattering; the electron propagator 4-5 Feynman's space-time approach to the electron propagator 4-6 M011er scattering and the photon propagator; one-meson exchange interactions 4-7 Mass and charge renormalization; radiative corrections Appendix A Electrodynamics in the radiation (Coulomb) gauge Appendix B Gamma matrices Appendix C Pauli's fundamental theorem Appendix D Formulas and rules in covariant perturbation theory Appendix E Feynman integrals; the computations of the self-energy and the anomalous magnetic moment of the electron Bibliography Index
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