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Neoclassical Theory of Electromagnetic Interactions

A Single Theory for Macroscopic and Microscopic Scales

  • Anatoli Babin
  • Alexander Figotin

Part of the Theoretical and Mathematical Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Anatoli Babin, Alexander Figotin
    Pages 1-6
  3. Classical Electromagnetic Theory and Special Relativity

    1. Front Matter
      Pages 87-87
    2. Anatoli Babin, Alexander Figotin
      Pages 89-100
    3. Anatoli Babin, Alexander Figotin
      Pages 101-105
    4. Anatoli Babin, Alexander Figotin
      Pages 107-118
    5. Anatoli Babin, Alexander Figotin
      Pages 119-126
    6. Anatoli Babin, Alexander Figotin
      Pages 127-139
    7. Anatoli Babin, Alexander Figotin
      Pages 141-151
  4. Classical Field Theory

    1. Front Matter
      Pages 153-154
    2. Anatoli Babin, Alexander Figotin
      Pages 181-217
    3. Anatoli Babin, Alexander Figotin
      Pages 219-228
    4. Anatoli Babin, Alexander Figotin
      Pages 229-235
  5. The Neoclassical Theory of Charges

    1. Front Matter
      Pages 237-238
    2. Anatoli Babin, Alexander Figotin
      Pages 239-277
    3. Anatoli Babin, Alexander Figotin
      Pages 279-289
    4. Anatoli Babin, Alexander Figotin
      Pages 291-322
    5. Anatoli Babin, Alexander Figotin
      Pages 323-372
    6. Anatoli Babin, Alexander Figotin
      Pages 373-387
    7. Anatoli Babin, Alexander Figotin
      Pages 389-404
    8. Anatoli Babin, Alexander Figotin
      Pages 405-420
  6. The Neoclassical Theory of Charges with Spin

    1. Front Matter
      Pages 421-421
    2. Anatoli Babin, Alexander Figotin
      Pages 423-425
    3. Anatoli Babin, Alexander Figotin
      Pages 427-429
    4. Anatoli Babin, Alexander Figotin
      Pages 431-439
    5. Anatoli Babin, Alexander Figotin
      Pages 441-451
    6. Anatoli Babin, Alexander Figotin
      Pages 453-460
    7. Anatoli Babin, Alexander Figotin
      Pages 461-469
    8. Anatoli Babin, Alexander Figotin
      Pages 477-489
    9. Anatoli Babin, Alexander Figotin
      Pages 491-498
    10. Anatoli Babin, Alexander Figotin
      Pages 499-517
    11. Anatoli Babin, Alexander Figotin
      Pages 519-525
    12. Anatoli Babin, Alexander Figotin
      Pages 527-530
    13. Anatoli Babin, Alexander Figotin
      Pages 531-538
  7. Mathematical Aspects of the Theory of Distributed Elementary Charges

    1. Front Matter
      Pages 539-539
    2. Anatoli Babin, Alexander Figotin
      Pages 541-612
    3. Anatoli Babin, Alexander Figotin
      Pages 613-639
  8. Appendices

    1. Front Matter
      Pages 641-641
    2. Anatoli Babin, Alexander Figotin
      Pages 643-644
    3. Anatoli Babin, Alexander Figotin
      Pages 645-646
    4. Anatoli Babin, Alexander Figotin
      Pages 647-649
    5. Anatoli Babin, Alexander Figotin
      Pages 651-655
    6. Anatoli Babin, Alexander Figotin
      Pages 657-659
    7. Anatoli Babin, Alexander Figotin
      Pages 661-663
    8. Anatoli Babin, Alexander Figotin
      Pages 665-667
    9. Anatoli Babin, Alexander Figotin
      Pages 669-670

About this book

Introduction

In this monograph, the authors present their recently developed theory of electromagnetic interactions. This neoclassical approach extends the classical electromagnetic theory down to atomic scales and allows the explanation of various non-classical phenomena in the same framework.

While the classical Maxwell–Lorentz electromagnetism theory succeeds in describing the physical reality at macroscopic scales, it struggles at atomic scales. Here, quantum mechanics traditionally takes over to describe non-classical phenomena such as the hydrogen spectrum and de Broglie waves. By means of modifying the classical theory, the approach presented here is able to consistently explain quantum-mechanical effects, and while similar to quantum mechanics in some respects, this neoclassical theory also differs markedly from it. In particular, the newly developed framework omits probabilistic interpretations of the wave function and features a new fundamental spatial scale which, at the size of the free electron, is much larger than the classical electron radius and is relevant to plasmonics and emission physics.

This book will appeal to researchers interested in advanced aspects of electromagnetic theory. Treating the classical approach in detail, including non-relativistic aspects and the Lagrangian framework, and comparing the neoclassical theory with quantum mechanics and the de Broglie–Bohm theory, this work is completely self-contained.

Keywords

electromagnetic theory quantum mechanics quantum electrodynamics plasmonics emission physics classical electron Einstein formula point charge dynamics nonlinear Schrödinger equation nonlinear Klein-Gordon equation electromagnetic self-interaction

Authors and affiliations

  • Anatoli Babin
    • 1
  • Alexander Figotin
    • 2
  1. 1.University of California, Irvine IrvineUSA
  2. 2.University of California, Irvine IrvineUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-7284-0
  • Copyright Information Springer-Verlag London 2016
  • Publisher Name Springer, London
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4471-7282-6
  • Online ISBN 978-1-4471-7284-0
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site