ABSTRACT

Classical Electrodynamics captures Schwinger's inimitable lecturing style, in which everything flows inexorably from what has gone before. Novel elements of the approach include the immediate inference of Maxwell's equations from Coulomb's law and (Galilean) relativity, the use of action and stationary principles, the central role of Green's functions both in statics and dynamics, and, throughout, the integration of mathematics and physics. Thus, physical problems in electrostatics are used to develop the properties of Bessel functions and spherical harmonics. The latter portion of the book is devoted to radiation, with rather complete treatments of synchrotron radiation and diffraction, and the formulation of the mode decomposition for waveguides and scattering. Consequently, the book provides the student with a thorough grounding in electrodynamics in particular, and in classical field theory in general, subjects with enormous practical applications, and which are essential prerequisites for the study of quantum field theory.An essential resource for both physicists and their students, the book includes a ?Reader's Guide,? which describes the major themes in each chapter, suggests a possible path through the book, and identifies topics for inclusion in, and exclusion from, a given course, depending on the instructor's preference. Carefully constructed problems complement the material of the text, and introduce new topics. The book should be of great value to all physicists, from first-year graduate students to senior researchers, and to all those interested in electrodynamics, field theory, and mathematical physics.The text for the graduate classical electrodynamics course was left unfinished upon Julian Schwinger's death in 1994, but was completed by his coauthors, who have brilliantly recreated the excitement of Schwinger's novel approach.

chapter Chapter 1|16 pages

Maxwell’s Equations

chapter Chapter 2|3 pages

Magnetic Charge I

chapter 3|11 pages

Conservation Laws

chapter 4|12 pages

Macroscopic Electrodynamics

chapter Chapter 5|18 pages

Simple Model for Constitutive Relations

chapter Chapter 6|12 pages

Magnetic Properties of Matter

chapter 7|10 pages

Macroscopic Energy and Momentum

chapter Chapter 8|12 pages

Review of Action Principles

chapter 9|14 pages

Action Principle for Electrodynamics

chapter 10|14 pages

Einsteinian Relativity

chapter 11|12 pages

Stationary Principles for Electrostatics

chapter Chapter 12|4 pages

Introduction to Green's Functions

chapter 13|6 pages

Electrostatics in Free Space

chapter Chapter 14|10 pages

Semi-Infinite Dielectric

chapter 15|7 pages

Application of Green’s Function

chapter 16|12 pages

Bessel Functions

chapter 17|15 pages

Parallel Conducting Plates

chapter 18|12 pages

Modified Bessel Functions

chapter Chapter 19|26 pages

Cylindrical Conductors

chapter Chapter 20|12 pages

Spherical Harmonics

chapter Chapter 21|14 pages

Coulomb’s Potential

chapter 22|7 pages

Multipoles

chapter 23|17 pages

Conducting and Dielectric Spheres

chapter Chapter 24|12 pages

Dielectrics and Conductors

chapter Chapter 25|18 pages

Modes and Variations

chapter 26|6 pages

Magnetostatics

chapter 27|6 pages

Macroscopic Current Distributions

chapter 28|6 pages

Magnetic Multipoles

chapter 29|6 pages

Magnetic Scalar Potential

chapter 30|4 pages

Magnetic Charge II

chapter 31|10 pages

Retarded Green's Function

chapter Chapter 32|10 pages

Radiation—Field Point of View

chapter Chapter 33|6 pages

Radiation—Source Point of View

chapter Chapter 34|8 pages

Models of Antennas

chapter 35|9 pages

Spectral Distribution of Radiation

chapter 36|6 pages

Power Spectrum and Čerenkov Radiation

chapter 38|12 pages

Synchrotron Radiation I

chapter 39|4 pages

Synchrotron Radiation II—Polarization

chapter 40|10 pages

Synchrotron Radiation III—High Energies

chapter 41|6 pages

Propagation in a Dielectric Medium

chapter 42|4 pages

Reflection by an Imperfect Conductor

chapter 43|10 pages

Cylindrical Coordinates

chapter 44|12 pages

Waveguides

chapter 45|8 pages

Scattering by Small Obstacles

chapter 46|12 pages

Partial-Wave Analysis of Scattering

chapter Chapter 47|18 pages

Diffraction I

chapter Chapter 48|14 pages

Diffraction II

chapter Chapter 49|4 pages

Babinet’s Principle

chapter Chapter 50|12 pages

General Scattering

chapter 52|10 pages

Charged Particle Energy Loss