Introduction to Electrodynamics and Radiation

Introduction to Electrodynamics and Radiation

1st Edition - January 28, 1970

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  • Author: Walter T. Jr. Grandy
  • eBook ISBN: 9780323156950

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Description

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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