Neoclassical Theory of Electromagnetic Interactions : A Single Theory for Macroscopic and Microscopic Scales / by Anatoli Babin, Alexander Figotin.

Format:

Book

Author/Creator:

Babin, Anatoli., Author.

Figotin, Alexander., Author.

Series:

Theoretical and Mathematical Physics, 1864-5879

Language:

English

Subjects (All):

Differential equations, Partial.

Mathematical physics.

Physics.

Optics.

Electrodynamics.

Particles (Nuclear physics).

Quantum field theory.

Statistical physics.

Partial Differential Equations.

Mathematical Applications in the Physical Sciences.

Mathematical Methods in Physics.

Classical Electrodynamics.

Elementary Particles, Quantum Field Theory.

Applications of Nonlinear Dynamics and Chaos Theory.

Local Subjects:

Partial Differential Equations.

Mathematical Applications in the Physical Sciences.

Mathematical Methods in Physics.

Classical Electrodynamics.

Elementary Particles, Quantum Field Theory.

Applications of Nonlinear Dynamics and Chaos Theory.

Physical Description:

1 online resource (XXIII, 696 p.)

Edition:

1st ed. 2016.

Place of Publication:

London : Springer London : Imprint: Springer, 2016.

Summary:

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.

Contents:

Introduction

The History of Views on Charges, Currents and the Electromagnetic Field

The Neoclassical Field Theory of Charged Matter: A Concise Presentation

Part I. Classical Electromagnetic Theory and Special Relativity

Part II. Classical Field Theory

Part III. The Neoclassical Theory of Charges

Part IV. The Neoclassical Theory of Charges with Spin

Part V. Mathematical Aspects of the Theory of Distributed Elementary Charges

Part VI. Appendices.

Notes:

Includes bibliographical references and index.

ISBN:

1-4471-7284-1