# Introduction to Electrodynamics and Radiation

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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.

## Table of Contents

Preface

Acknowledgments

I. 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 References

II 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 References

III. Space-Time of Special Relativity

A. Space-Time

B. Relativistic Classical Mechanics

Problems

References

IV. The Covariance of Classical Electrodynamics

A. Four-Vectors of Electrodynamics

B. Charged Particles and Conservation Laws

C. Potentials and Fields of Charged Particles

Problems

References

V. Radiation from Charged Particles

A. Accelerated Charges

B. Frequency and Angular Distributions of Radiation

C. Cerenkov Radiation

D. Transition Radiation

Problems

References

VI. Scattering Processes

A. Bremsstrahlung

B. Radiation Scattering from Electrons

C. Summary

Problems

References

VII. The Classical Electron

A. Classical Theory of Charged Particles

B . The Relativistic Electron

C. Applications of the Theory

Problems

References

VIII. Canonical Formulation of Classical Electrodynamics

A. The Pure Radiation Field

B. Field and Particles Combined

Problems

References

IX. Quantization of the Radiation Field

A. Direct Quantization

B. Photons

C. Coherent Photon States

Problems

References

X. The Quantum Mechanics of N-Particle Systems

A. Identical Particles

B. The Number Representation

C. Fock Space

Problems

References

XI. 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

References

XII. Application to Classical Processes

A. Thomson Scattering

B. Non-relativistic Bremsstrahlung

C. Coulomb Scattering

Problems

References

XIII. Quantum Mechanical Processes

A. Photon Emission and Absorption

B . The Atomic Photoelectric Effect

C. Scattering of Light from Atoms

Problems

References

XIV. Self-Energies and Renormalization

A. Higher-Order Calculations

B . Self-Energy of the Electron

Problems

References

XV. Radiative Corrections and the Infrared Problem

A. The Lamb Shift

B. Radiative Corrections to Thomson Scattering

C. Radiative Corrections to Coulomb Scattering

Problems

References

XVI. 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

References

Appendix A. The Covariant Derivative

References

Appendix B. Ground State of the Many-Electron System

References

Appendix C. The Quantum Theory of Scattering

References

Index

## Product details

- No. of pages: 300
- Language: English
- Copyright: © Academic Press 1970
- Published: January 28, 1970
- Imprint: Academic Press
- eBook ISBN: 9780323156950

## About the Author

### Walter T. Jr. Grandy

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