Neoclassical theory of electromagnetic interactions : a single theory for macroscopic and microscopic scales / Anatoli Babin, Alexander Figotin.
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 classic...
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| Language: | English |
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2016.
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| Series: | Theoretical and mathematical physics (Springer (Firm))
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| 100 | 1 | |a Babin, Anatoli, |e author. | |
| 245 | 1 | 0 | |a Neoclassical theory of electromagnetic interactions : |b a single theory for macroscopic and microscopic scales / |c Anatoli Babin, Alexander Figotin. |
| 264 | 1 | |a London : |b Springer, |c 2016. | |
| 300 | |a 1 online resource (xxiii, 696 pages) | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
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| 490 | 1 | |a Theoretical and mathematical physics. | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Preface; Contents; Mathematical Symbols; Abbreviations; 1 Introduction; 2 The History of Views on Charges, Currents and the Electromagnetic Field; 2.1 The PreMaxwellian Era, Luminiferous Ether and Action-at-a-Distance; 2.1.1 Ether and Action-at-a-Distance; 2.1.2 Corpuscular and Wave Theories; 2.1.3 Electromagnetism; 2.2 Maxwell's Field Theory; 2.3 Lorentz's Theory; 2.4 Problems with Elementary Charge Treated as a Point; 2.5 The Concept of an Extended Charge; 2.6 Poincaré's Contribution; 2.7 Planck's Insights on Black-Body Radiation and Energy Quanta; 2.8 Einstein's Insights. | |
| 505 | 8 | |a 2.8.1 Ether and Action-at-Distance2.8.2 Problems with Maxwell's Theory and Quantization of Electromagnetic Radiation; 2.8.3 Ghost Field; 2.8.4 Light Quanta; 2.8.5 Material Points Versus Continuous Fields; 2.9 De Broglie's Theory of Phase Waves; 2.10 Schrödinger Wave Mechanics; 2.11 De Broglie -- Bohm Theory; 2.12 Continuum Theories and Atomicity; 2.13 Quantum Electrodynamics (QED); 3 The Neoclassical Field Theory of Charged Matter: A Concise Presentation; 3.1 Point Charges in Classical Electromagnetic Theory; 3.2 The Concept of Balanced Charge, the First Glimpse of the Theory. | |
| 505 | 8 | |a 3.3 Localization of Balanced Charges and the Nonlinearity 3.4 Lagrangian, Field Equations and Conservation Laws for Interacting Balanced Charges; 3.5 The Concept of Wave-Corpuscle; 3.5.1 The Wave-Corpuscle Versus the WKB Quasiclassical Approximation; 3.5.2 The Wave-Corpuscle as an Approximation; 3.5.3 Coexistence of Wave and Particle Properties in a Wave-Corpuscle ; 3.5.4 A Hypothetical Scenario for the Davisson -- Germer Experiment; 3.6 Particle-Like Dynamics; 3.6.1 Derivation of Newton's Law from the Field Conservation Laws. | |
| 505 | 8 | |a 3.6.2 Derivation of the Relativistic Law of Motion and Einstein's Formula E=Mc2 3.7 Quantum Phenomena; 3.7.1 The Planck -- Einstein Formula and the Logarithmic Nonlinearity ; 3.7.2 Hydrogen Atom; 3.8 Comparison with Quantum Mechanics and Classical Electrodynamics ; Part I Classical Electromagnetic Theory and Special Relativity; 4 The Maxwell Equations; 4.1 The Maxwell Equations in Tensorial Form; 4.1.1 Frame Transformation Formulas; 4.2 The Green Functions for the Maxwell Equations; 4.2.1 Point Charges and the Liénard -- Wiechert Potential; 4.2.2 Radiation Fields and Radiated Energy. | |
| 505 | 8 | |a 5 Dipole Approximation for Localized Distributed Charges5.1 Dipole Fields; 5.2 Dipole Elementary Currents; 6 The Minkowski Four-Dimensional Spacetime and Relativistic Kinematics; 6.1 The Minkowski Four-Dimensional Spacetime; 6.2 The Lorentz Transformation; 6.2.1 Spinorial Form of the Lorentz Transformations; 6.3 Relativistic Kinematics; 6.4 Point Charges in an External Electromagnetic Field; 6.4.1 Point Charges and the Lorentz -- Abraham Model; 6.4.2 Forces and Torques Exerted on Localized Distributed Charges; 6.4.3 Angular Momentum and Gyromagnetic Ratio; 7 Longitudinal and Transversal Fields. | |
| 520 | |a 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- orentz 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- ohm theory, this work is completely self-contained. | ||
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed August 11, 2016) | |
| 650 | 0 | |a Electromagnetic interactions. |0 http://id.loc.gov/authorities/subjects/sh85042169. | |
| 650 | 7 | |a Electromagnetic interactions. |2 fast |0 (OCoLC)fst00906549. | |
| 700 | 1 | |a Figotin, Alexander, |d 1954- |e author. |0 http://id.loc.gov/authorities/names/n91102408 |1 http://isni.org/isni/0000000114382765. | |
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