Chapter 1 Classical Fields
1-1 Particles and fields
I-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; nonreIativistic 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 nonconservation; 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; Mort scattering and hyperon decay
4-4 Two-photon annihilation and Compton scattering; the electron propagator
4-5 Feynman's space-time approach to the electron propagator
4-6 Moller 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
Bibliosraphy
Index
