Introduction to Electrodynamics and Radiation

1st Edition - January 28, 1970
Author: Walter T. Jr. Grandy
Language: English
eBook ISBN:
9 7 8 - 0 - 3 2 3 - 1 5 6 9 5 - 0

Introduction to Electrodynamics and Radiation introduces the reader to electrodynamics and radiation, with emphasis on the microscopic theory of electricity and magnetism.… Read more

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Introduction to Electrodynamics and Radiation introduces the reader to electrodynamics and radiation, with emphasis on the microscopic theory of electricity and magnetism. Nonrelativistic quantum electrodynamics (QED) is presented as a logical outgrowth of the classical theory, both relativistic and nonrelativistic. The advanced mathematical and diagrammatic techniques of the relativistic quantum field theory are also described in a simple and easily understood manner. Comprised of 16 chapters, this book opens with an overview of the special theory of relativity and some of its consequences. The following chapters deal with classical relativistic electrodynamics, touching on topics such as tensor analysis and Riemannian spaces; radiation from charged particles; radiation scattering from electrons; and the classical theory of charged particles. The second part of the book is entirely quantum mechanical in outlook, beginning with the quantization of the Hamiltonian formulation of classical electrodynamics. The many-body formalism leading to Fock-space techniques is also considered, along with self-energies and renormalization. The final chapter is devoted to the covariant formulation of QED as well as the validity of QED. This monograph is written primarily for graduate students in elementary classical and quantum mechanics, electricity and magnetism, and modern physics courses.

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