The book has its origin in lecture notes I prepared for the thirdpart of a threequarter sequence of courses in quantum mechanics required of all Ph.D. candidates in physics at the University of Chicago.

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