Overview
- 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)
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Front Matter
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Classical Electromagnetic Theory and Special Relativity
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Front Matter
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The Neoclassical Theory of Charges
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Front Matter
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Keywords
About this book
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
Bibliographic Information
Book Title: Neoclassical Theory of Electromagnetic Interactions
Book Subtitle: A Single Theory for Macroscopic and Microscopic Scales
Authors: Anatoli Babin, Alexander Figotin
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-1-4471-7284-0
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London Ltd., part of Springer Nature 2016
Hardcover ISBN: 978-1-4471-7282-6Published: 18 August 2016
Softcover ISBN: 978-1-4471-7397-7Published: 09 June 2018
eBook ISBN: 978-1-4471-7284-0Published: 04 August 2016
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 1
Number of Pages: XXIII, 696
Topics: 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