Classical Electrodynamics

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Overview

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.
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Product Details

  • ISBN-13: 9780738200569
  • Publisher: Westview Press
  • Publication date: 9/1/1998
  • Pages: 596
  • Sales rank: 739,982
  • Product dimensions: 1.44 (w) x 6.00 (h) x 9.00 (d)

Meet the Author

Julian Schwinger (1918-1994) was born in New York City. He obtained his Ph.D. in Physics from Columbia University in 1939. He also received honorary doctorates in science from Purdue, Brandeis, Harvard, and Gustavus Adolphus College. He taught at the University of California, Los Angeles, from 1972 until his death. In 1965, Dr. Schwinger received (with Richard Feynman and Sin Itiro Tomonaga) the Nobel Prize in Physics for his work in quantum electrodynamics. A National Research Foundation Fellow (1939-1940) and a Guggenheim Fellow (1970), he was the recipient of many awards, including: the First Einstein Prize Award for Physics (1964), and the American Academy of Achievement Award (1987). The late Julian Schwinger shared the 1965 Nobel Prize for Physics with Richard Feynman and Sin-Itiro Tomonaga for their work on the theory of quantum electrodynamics. Lester L. DeRaad, Jr. is Senior Research Specialist at Logicon RDA. Kimball A Milton is Professor of Physics at the University of Oklahoma, Norman. Wu-yang Tsai is Scatterometer Project Engineer and Group Supervisor at the Jet Propulsion Laboratory in Pasadena, California. The late Julian Schwinger shared the 1965 Nobel Prize for Physics with Richard Feynman and Sin-Itiro Tomonaga for their work on the theory of quantum electrodynamics. Lester L. DeRaad, Jr. is Senior Research Specialist at Logicon RDA. Kimball A Milton is Professor of Physics at the University of Oklahoma, Norman. Wu-yang Tsai is Scatterometer Project Engineer and Group Supervisor at the Jet Propulsion Laboratory in Pasadena, California. The late Julian Schwinger shared the 1965 Nobel Prize for Physics with Richard Feynman and Sin-Itiro Tomonaga for their work on the theory of quantum electrodynamics. Lester L. DeRaad, Jr. is Senior Research Specialist at Logicon RDA. Kimball A Milton is Professor of Physics at the University of Oklahoma, Norman. Wu-yang Tsai is Scatterometer Project Engineer and Group Supervisor at the Jet Propulsion Laboratory in Pasadena, California. The late Julian Schwinger shared the 1965 Nobel Prize for Physics with Richard Feynman and Sin-Itiro Tomonaga for their work on the theory of quantum electrodynamics. Lester L. DeRaad, Jr. is Senior Research Specialist at Logicon RDA. Kimball A Milton is Professor of Physics at the University of Oklahoma, Norman. Wu-yang Tsai is Scatterometer Project Engineer and Group Supervisor at the Jet Propulsion Laboratory in Pasadena, California.
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Table of Contents

Preface
Reader's Guide
1 Maxwell's Equations 1
2 Magnetic Charge I 17
3 Conservation Laws 21
4 Macroscopic Electrodynamics 33
5 Simple Model for Constitutive Relations 45
6 Magnetic Properties of Matter 63
7 Macroscopic Energy and Momentum 75
8 Review of Action Principles 85
9 Action Principle for Electrodynamics 97
10 Einsteinian Relativity 111
11 Stationary Principles for Electrostatics 125
12 Introduction to Green's Functions 137
13 Electrostatics in Free Space 141
14 Semi-Infinite Dielectric 147
15 Application of Green's Function 157
16 Bessel Functions 165
17 Parallel Conducting Plates 177
18 Modified Bessel Functions 193
19 Cylindrical Conductors 205
20 Spherical Harmonics 231
21 Coulomb's Potential 243
22 Multipoles 257
23 Conducting and Dielectric Spheres 265
24 Dielectrics and Conductors 283
25 Modes and Variations 295
26 Magnetostatics 313
27 Macroscopic Current Distributions 319
28 Magnetic Multipoles 325
29 Magnetic Scalar Potential 331
30 Magnetic Charge II 337
31 Retarded Green's Function 341
32 Radiation - Field Point of View 351
33 Radiation - Source Point of View 361
34 Models of Antennas 367
35 Spectral Distribution of Radiation 375
36 Power Spectrum and Cerenkov Radiation 385
37 Constant Acceleration and Impulse 391
38 Synchrotron Radiation I 401
39 Synchrotron Radiation II - Polarization 413
40 Synchrotron Radiation III - High Energies 417
41 Propagation in a Dielectric Medium 427
42 Reflection by an Imperfect Conductor 445
43 Cylindrical Coordinates 449
44 Waveguides 459
45 Scattering by Small Obstacles 471
46 Partial-Wave Analysis of Scattering 479
47 Diffraction I 491
48 Diffraction II 509
49 Babinet's Principle 523
50 General Scattering 527
51 Dispersion Relations for the Susceptibility 539
52 Charged Particle Energy Loss 545
App. A: Units 555
App. B: Bibliography 561
Index 563
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