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Neoclassical Theory of Electromagnetic Interactions

A Single Theory for Macroscopic and Microscopic Scales

  • Presents a new theory that links the classical electromagnetic and quantum-mechanical approaches
  • Provides a rigorous and detailed treatment of the Lagrangian framework
  • Introduces a new spatial scale – the size of a free electron
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (45 chapters)

  1. The Neoclassical Theory of Charges

    1. Interaction Theory of Balanced Charges

      • Anatoli Babin, Alexander Figotin
      Pages 323-372
    2. Relation to Quantum Mechanical Models and Phenomena

      • Anatoli Babin, Alexander Figotin
      Pages 373-387
    3. The Theory of Electromagnetic Interaction of Dressed Charges

      • Anatoli Babin, Alexander Figotin
      Pages 389-404
    4. Comparison of EM Aspects of Dressed and Balanced Charges Theories

      • Anatoli Babin, Alexander Figotin
      Pages 405-420
  2. The Neoclassical Theory of Charges with Spin

    1. Front Matter

      Pages 421-421
    2. Introduction

      • Anatoli Babin, Alexander Figotin
      Pages 423-425
    3. The Dirac Equation

      • Anatoli Babin, Alexander Figotin
      Pages 427-429
    4. Basics of Spacetime Algebra (STA)

      • Anatoli Babin, Alexander Figotin
      Pages 431-439
    5. The Dirac Equation in the STA

      • Anatoli Babin, Alexander Figotin
      Pages 441-451
    6. The Basics of the Neoclassical Theory of Charges with Spin 1/2

      • Anatoli Babin, Alexander Figotin
      Pages 453-460
    7. Neoclassical Free Charge with Spin

      • Anatoli Babin, Alexander Figotin
      Pages 461-469
    8. Clifford and Spacetime Algebras

      • Anatoli Babin, Alexander Figotin
      Pages 477-489
    9. Multivector Calculus

      • Anatoli Babin, Alexander Figotin
      Pages 491-498
    10. Relativistic Concepts in the STA

      • Anatoli Babin, Alexander Figotin
      Pages 499-517
    11. Electromagnetic Theory in the STA

      • Anatoli Babin, Alexander Figotin
      Pages 519-525
    12. The Wave Function and Local Observables in the STA

      • Anatoli Babin, Alexander Figotin
      Pages 527-530
    13. Multivector Field Theory

      • Anatoli Babin, Alexander Figotin
      Pages 531-538
  3. Mathematical Aspects of the Theory of Distributed Elementary Charges

    1. Front Matter

      Pages 539-539
    2. Trajectories of Concentration

      • Anatoli Babin, Alexander Figotin
      Pages 541-612

About this book

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 scalewhich, 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.

Authors and Affiliations

  • University of California, Irvine , Irvine, USA

    Anatoli Babin, Alexander Figotin

Bibliographic Information

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access