Neoclassical theory of electromagnetic interactions : a single theory for macroscopic and microscopic scales /: a single theory for macroscopic and microscopic scales. (2016)

• Record Type: Book
• Further Information: Note: Anatoli Babin, Alexander Figotin.
• Authors: Babin, Anatoli; Figotin, Alexander, 1954-
• Contents: 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. 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. 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. 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. 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.
• Publisher Details: London : Springer
• Publication Date: 2016
• Extent: 1 online resource (xxiii, 696 pages)
• Subjects: 537.6/226; Mathematics; Electromagnetic interactions; SCIENCE -- Physics -- Electricity; SCIENCE -- Physics -- Electromagnetism; Electromagnetic interactions; Mathematics -- Applied; Science -- Mathematical Physics; Science -- Electricity; Science -- Nuclear Physics; Science -- Chaotic Behavior in Systems; Mathematical modelling; Mathematical physics; Optical physics; Quantum physics (quantum mechanics & quantum field theory); Nonlinear science; Differential equations, partial; Mathematical physics; Quantum theory; Mathematics -- Differential Equations; Differential calculus & equations; Electronic books; Electronic books
• Languages: English
• ISBNs: 9781447172840; 1447172841; 1447172825; 9781447172826
• Related ISBNs: 9781447172826
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed August 11, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.