1 Propagators and Scattering Theory 1.1 Introduction 1.2 The Nonrelativistic Propagator 1.3 Green's Function and Propagator 1.4 An Integral Equation for 1.5 Application to Scattering Problems 1.6 The Unitarity of the S Matrix 1.7 Symmetry Properties of the S Matrix 1.8 The Green's Function in Momentum Representation 1.9 Another Look at the Green's Function 1.10 Biographical Notes 2 The Propagators for Electrons and Positrons 3 Quantum-Electrodynamical Processes 3.1 Coulomb Scattering of Electrons 3.2 Scattering of an Electron off a Free Proton: The Effect of Recoil 3.3 Scattering of Identical Fermions 3.4 Electron-Positron Scattering 3.5 Scattering of Polarized Dirac Particles 3.6 Bremsstrahlung 3.7 Compton Scattering - The Klein-Nishina Formula 3.8 Annihilation of Particle and Antiparticle 3.9 Biographical Notes 4 Summary: The Feynman Rules of QED 4.1 The Feynman Rules of QED in Momentum Space 4.2 The Photon Propagator in Different Gauges 4.3 Biographical Notes 5 The Scattering Matrix in Higher Orders 5.1 Electron-Positron Scattering in Fourth Order 5.2 Vacuum Polarization 5.3 Self-Energy of the Electron 5.4 The Vertex Correction 5.5 Biographical Notes 6 Two-Particle Systems 6.1 The Bethe-Salpeter Equation 6.2 Biographical Notes 7 Quantum Electrodynamics of Strong Fields 7.1 Strong Fields in Atoms 7.2 Strong Fields in Heavy Ion Collisions 7.3 The Effective Lagrangian of the Electromagnetic Field 7.4 Biographical Notes 8 Quantum Electrodynamics of Spinless Bosons 8.1 The Klein-Gordon Equation 8.2 The Feynman Propagator for Scalar Particles 8.3 The Scattering of Spin-0 Bosons 8.4 The Feynman Rules of Scalar Electrodynamics Appendix Subject Index