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The concept of gauge invariance in classical electrodynamics assumes tacitly that Maxwell's equations have unique solutions. By calculating the electromagnetic field of a moving particle both in Lorenz and in Coulomb gauge and directly from…

经典物理 · 物理学 2007-05-23 Wolfgang Engelhardt

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed,…

数学物理 · 物理学 2010-02-17 D. M. Gitman , V. G. Kupriyanov

We discuss a model with stable topological solitons in Minkowski space with only three degrees of freedom, the rotational angles of a spatial Dreibein. This model has four types of solitons differing in two topological quantum numbers which…

高能物理 - 理论 · 物理学 2017-07-12 Manfried Faber

The formula for the electric field of a point charge moving with constant velocity is derived using the symmetry properties of Maxwell's equations - its Lorentz invariance. In contrast to conventional treatments, the derivation presented…

物理教育 · 物理学 2015-06-26 Valery P. Dmitriyev

In our paper we derived the classical motion equation of electromagnetic field in space with Higgs field and by means of it discussed the distributions of charge and current formed when the static electrical and magnetic fields are…

综合物理 · 物理学 2016-05-18 Il-Gwang Kim , Tae-Song Kim , Chol-Man Ri , Song-Jin Im

A generalization of Born-Infeld non-linear vacuum electrodynamics involving axion and dilaton fields is constructed with couplings dictated by electromagnetic duality and SL(2,R) symmetries in the weak field limit. Besides the Newtonian…

高能物理 - 理论 · 物理学 2013-01-21 D. A. Burton , T. Dereli , R. W. Tucker

It is shown that Einstein gravity tends to modify the electric and magnetic fields appreciably at distances of the order of the Compton wavelength. At that distance the gravitational field becomes spin dominated rather than mass dominated.…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Kjell Rosquist

Electromagnetism is the energy originating from an electric charge. Our purpose is to enlarge Maxwell. Include the charge transfer phenomenology. A four bosons electromagnetism is derived. An EM completeness is achieved. The charge's set…

综合物理 · 物理学 2022-06-01 R. Doria , L. S. Mendes

The self-force problem of classical electrodynamics has two closely linked facets: The ill defined dynamics of a point charge due to the divergent self field at the position of the charge, and the divergence of formally conserved…

综合物理 · 物理学 2013-12-20 Yehonatan Knoll

Born's original 1933 theory of nonlinear electrodynamics (in contrast to the later Born-Infeld theory) is acausal for strong fields. We explore the issue of strong-field causality violation in families of theories containing Born and/or…

高能物理 - 理论 · 物理学 2024-05-24 Jorge G. Russo , Paul K. Townsend

The self force of electrodynamics is derived from a scalar field. The resulting equation of motion is free of all of the problems that plague the Lorentz Abraham Dirac equation. The age-old problem of a particle in a constant field is…

经典物理 · 物理学 2015-05-30 Richard T Hammond

An approach to the teaching of electromagnetism to senior undergraduate students, designed for overcoming the fragmentation of the theory is described. As usual it starts from the static case, but it is strictly based on Helmholtz theorem…

物理教育 · 物理学 2007-05-23 Nelson P. Andion

It is known that an electric-magnetic duality transformation is a symmetry of the classical source-free Maxwell theory in generic spacetimes. This provides a conserved Noether charge, physically related to the polarization state of the…

广义相对论与量子宇宙学 · 物理学 2024-11-19 Adrian del Rio

Maxwell's equations and the equations governing charged particle dynamics are presented for a rotating coordinate system with the global time coordinate of an observer on the rotational axis. Special care is taken in defining the relevant…

天体物理学 · 物理学 2012-08-27 Paul N. Arendt,

Expectation values of the electromagnetic field and the electric current are introduced at space-time resolution which belongs to the quantum domain. These allow us to approach some key features of classical electrodynamics from the…

高能物理 - 理论 · 物理学 2010-09-17 Mathieu Planat , Janos Polonyi

The classical theory of electromagnetism is based on Maxwell's macroscopic equations, an energy postulate, a momentum postulate, and a generalized form of the Lorentz law of force. These seven postulates constitute the foundation of a…

光学 · 物理学 2012-07-31 Masud Mansuripur , Armis R. Zakharian

The motion of a magnetic spin particle in electromagnetic fields is considered on the basis of general principles of the classical relativistic theory. Alternative approaches in derivation of the equations of charge motion and spin…

量子物理 · 物理学 2017-08-23 V. A. Bordovitsyn , A. N. Myagkii

We prove long-time existence of solutions for the equations of atomistic elastodynamics on a bounded domain with time-dependent boundary values as well as their convergence to a solution of continuum nonlinear elastodynamics as the…

偏微分方程分析 · 数学 2017-10-25 Julian Braun

The approach to the dynamics of a charged particle in the Born-Infeld nonlinear electrodynamics developed in [Phys. Lett. A 240 (1998) 8] is generalized to include a Born-Infeld dyon. Both Hamiltonian and Lagrangian structures of many dyons…

高能物理 - 理论 · 物理学 2009-10-31 Dariusz Chruscinski , Hartmann Roemer

We discuss the motion of electrically and magnetically charged particles in the electromagnetic swirling universe. We show that the equations of motion can be decoupled in the Hamilton-Jacobi formalism, revealing the existence of a fourth…

广义相对论与量子宇宙学 · 物理学 2024-07-08 Rogério Capobianco , Betti Hartmann , Jutta Kunz