Classical Electrodynamics: A Modern Perspective
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This book addresses the theoretical foundations and the main physical consequences of electromagnetic interaction, generally considered to be one of the four fundamental interactions in nature, in a mathematically rigorous yet straightforward way. The major focus is on the unifying features shared by classical electrodynamics and all other fundamental relativistic classical field theories. The book presents a balanced blend of derivations of phenomenological predictions from first principles on the one hand, and concrete applications on the other. Further, it highlights the internal inconsistencies of classical electrodynamics, and addresses and resolves often-ignored critical issues, such as the dynamics of massless charged particles, the infinite energy of the electromagnetic field, and the limits of the Green’s function method. Presenting a rich, multilayered, and critical exposition on the electromagnetic paradigm underlying the whole Universe, the book offers a valuable resource for researchers and graduate students in theoretical physics alike. Front Matter ....Pages i-xix Front Matter ....Pages 1-1 Foundations of Special Relativity (Kurt Lechner)....Pages 3-26 The Fundamental Equations of Electrodynamics (Kurt Lechner)....Pages 27-84 Variational Methods in Field Theory (Kurt Lechner)....Pages 85-122 Variational Methods in Electrodynamics (Kurt Lechner)....Pages 123-136 Front Matter ....Pages 137-137 Electromagnetic Waves (Kurt Lechner)....Pages 139-181 Generation of Electromagnetic Fields (Kurt Lechner)....Pages 183-218 Liénard-Wiechert Fields (Kurt Lechner)....Pages 219-240 Electromagnetic Radiation (Kurt Lechner)....Pages 241-286 Gravitational Radiation (Kurt Lechner)....Pages 287-311 Radiation in the Ultrarelativistic Limit (Kurt Lechner)....Pages 313-329 Spectral Analysis (Kurt Lechner)....Pages 331-369 Synchrotron Radiation (Kurt Lechner)....Pages 371-386 The Čerenkov Effect (Kurt Lechner)....Pages 387-423 Radiation from an Infinite Wire (Kurt Lechner)....Pages 425-458 Front Matter ....Pages 459-459 Radiation Reaction (Kurt Lechner)....Pages 461-506 Renormalization of the Electromagnetic Energy-Momentum Tensor (Kurt Lechner)....Pages 507-526 The Electromagnetic Field of a Massless Particle (Kurt Lechner)....Pages 527-547 Massive Vector Fields (Kurt Lechner)....Pages 549-578 Electrodynamics of p-Branes (Kurt Lechner)....Pages 579-616 Magnetic Monopoles in Classical Electrodynamics (Kurt Lechner)....Pages 617-644 Magnetic Monopoles in Quantum Mechanics (Kurt Lechner)....Pages 645-678 Back Matter ....Pages 679-688
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