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It is certain that electrical properties-whether slow (sec) or fast (nsec), even optical (fsec)-are described by Maxwell's equations, and there are terms that depend on the rate of change of the electric and magnetic fields. In particular,…

Classical Physics · Physics 2024-08-27 David K. Ferry , Xavier Oriols , Robert Eisenberg

The issue of a self-consistent solution of Maxwell-Einstein equations achieves a very simple form when all quantum effects are neglected but a weak vacuum polarization due to an external magnetic field is taken into account. From a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Klippert , V. A. De Lorenci , M. Novello , J. M. Salim

We review the modern classical electrodynamics problems and present the related main fundamental principles characterizing the electrodynamical vacuum-field structure. We analyze the models of the vacuum field medium and charged point…

Mathematical Physics · Physics 2015-11-03 Nikolai N. Bogolubov , Denis Blackmore , Anatolij K. Prykarpatsky

A simple mathematical procedure is introduced which allows redefining in an exact way divergent integrals and limits that appear in the basic equations of classical electrodynamics with point charges. In this way all divergences are at once…

Classical Physics · Physics 2015-06-26 Massimo Marino

In order to extend the limits of classical theory application in the microworld some weak generalization of Maxwell electrodynamics is suggested. It is shown that slightly generalized classical Maxwell electrodynamics can describe the…

High Energy Physics - Theory · Physics 2007-05-23 V. M. Simulik , I. Yu. Krivsky

It is shown that geometric optical description of electromagnetic wave with account of its polarization in curved space-time can be obtained straightforwardly from the classical variational principle for electromagnetic field. For this end…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Z. Ya. Turakulov , A. T. Muminov

Causality in electrodynamics is a subject of some confusion, especially regarding the application of Faraday's law and the Ampere-Maxwell law. This has led to the suggestion that we should not teach students that electric and magnetic…

Physics Education · Physics 2015-05-28 C. M. Savage

The constraint equations in Maxwell theory are investigated. In analogy with some recent results on the constraints of general relativity it is shown, regardless of the signature and dimension of the ambient space, that the "divergence of a…

General Relativity and Quantum Cosmology · Physics 2018-12-27 István Rácz

We revisit the nonrelativistic problem of a bound, charged particle subject to the random zero-point radiation field (ZPF), with the purpose of revealing the mechanism that takes it from the initially classical description to the final…

Quantum Physics · Physics 2022-03-23 Ana María Cetto , Luis de la Peña

A well known example in quantum electrodynamics (QED) shows that Coulomb scattering of unpolarized electrons, calculated to lowest order in perturbation theory, yields a results that exactly coincides (in the non-relativistic limit) with…

Quantum Physics · Physics 2009-06-11 Gabriela Murguia , Matias Moreno , Manuel Torres

Semiclassical solutions of two-dimensional Schrodinger equation with spin-orbit interaction and smooth potential are considered. In the leading order, spin polarization is in-plane and follows the evolution of the electron momentum for a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , E. G. Mishchenko

In this paper we have obtained several new results concerning the X-boson, which is being considered recently as one of the main candidate of the dark matter particle content. The classical electrodynamics for the X-boson model was explored…

High Energy Physics - Phenomenology · Physics 2018-09-26 Mario J. Neves , Lucas Labre , Everton M. C. Abreu

Mobile charge in an electrolytic solution can in principle be represented as the divergence of ionic polarization. After adding explicit solvent polarization a finite volume of electrolyte can then be treated as a composite non-uniform…

Soft Condensed Matter · Physics 2021-03-03 Michiel Sprik

We develop a thermodynamic framework that couples mass dynamics, described by the Newton- Gibbs-van der Waals formalism, with electromagnetic fields beyond the scope of classical Maxwell theory. Classical Newtonian mechanics does not…

Classical Physics · Physics 2025-12-23 Fei Wang

Previously we conjectured that extremely high Electromagnetic (EM) fields in a vacuum generate a gravitational field that causes Maxwell's equations to no longer be linear. This results in a "4-force" in the field configuration space, also…

General Physics · Physics 2023-12-12 Pierre Marx

From electromagnetic wave equations, it is first found that, mathematically, any current density that emits an electromagnetic wave into the far-field region has to be differentiable in time infinitely, and that while the odd-order time…

Classical Physics · Physics 2021-08-10 Wei Guo

The electron motion in rather strong magnetic fields (when only the lowest Landau level is populated) is considered. In this case the electron kinetic energy is frozen out and the electrons are guided by slowly varied potential. Using the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Matulis

Systematic description of a spin one-half system endowed with magnetic moment or any other two-level system (qubit) interacting with the quantized electromagnetic field is developed. This description exploits a close analogy between a…

Quantum Physics · Physics 2009-11-13 Iwo Bialynicki-Birula , Tomasz Sowinski

The theory of point-particles in classical electrodynamics has a well-known problem of infinite self-energy, and the same is true of quantum electrodynamics. Instead of concluding that there is no such thing as a true point-particle, it is…

Classical Physics · Physics 2026-03-19 Andrew T. Hyman

The Maxwell electromagnetic and the Lorentz type force equations are derived in the framework of the R. Feynman proper time paradigm and the related vacuum field theory approach. The electron inertia problem is analyzed within the…

Classical Physics · Physics 2015-11-03 Anatolij K. Prykarpatsky , Nikolai N. Bogolubov