Introduction to Electrodynamics and Radiation

PrefaceAcknowledgmentsI. The Special Theory of Relativity A. Newtonian Physics B. Inclusion of the Electromagnetic Field C. Resolution of the Problem D. Some Consequences of Special Relativity Problems References General ReferencesII Tensor Analysis and N-Dimensional Geometry A. N-Dimensional Spaces and Their Transformations B. Scalars, Vectors, and Tensors C. Riemannian Geometry D. Tensor Calculus E. Pseudotensors Problems References General ReferencesIII. Space-Time of Special Relativity A. Space-Time B. Relativistic Classical Mechanics Problems ReferencesIV. The Covariance of Classical Electrodynamics A. Four-Vectors of Electrodynamics B. Charged Particles and Conservation Laws C. Potentials and Fields of Charged Particles Problems ReferencesV. Radiation from Charged Particles A. Accelerated Charges B. Frequency and Angular Distributions of Radiation C. Cerenkov Radiation D. Transition Radiation Problems ReferencesVI. Scattering Processes A. Bremsstrahlung B. Radiation Scattering from Electrons C. Summary Problems ReferencesVII. The Classical Electron A. Classical Theory of Charged Particles B . The Relativistic Electron C. Applications of the Theory Problems ReferencesVIII. Canonical Formulation of Classical Electrodynamics A. The Pure Radiation Field B. Field and Particles Combined Problems ReferencesIX. Quantization of the Radiation Field A. Direct Quantization B. Photons C. Coherent Photon States Problems ReferencesX. The Quantum Mechanics of N-Particle Systems A. Identical Particles B. The Number Representation C. Fock Space Problems ReferencesXI. Methods of Calculation A. Coupled System of Radiation and Charged Particles B . The Calculational Problem C. The Interaction Picture D. Diagrammatic Analysis of Electrodynamic Processes Problems ReferencesXII. Application to Classical Processes A. Thomson Scattering B. Non-relativistic Bremsstrahlung C. Coulomb Scattering Problems ReferencesXIII. Quantum Mechanical Processes A. Photon Emission and Absorption B . The Atomic Photoelectric Effect C. Scattering of Light from Atoms Problems ReferencesXIV. Self-Energies and Renormalization A. Higher-Order Calculations B . Self-Energy of the Electron Problems ReferencesXV. Radiative Corrections and the Infrared Problem A. The Lamb Shift B. Radiative Corrections to Thomson Scattering C. Radiative Corrections to Coulomb Scattering Problems ReferencesXVI. Covariant Quantum Electrodynamics A. Manifestly Covariant Formulation of QED B. Relativistic Forms of Some Previous Results C. Some Inherently Relativistic Processes D. Conceptual Problems and the Validity of QED ReferencesAppendix A. The Covariant Derivative ReferencesAppendix B. Ground State of the Many-Electron System ReferencesAppendix C. The Quantum Theory of Scattering ReferencesIndex