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We show that the Lorentz force law, F^L_1=q_1(E+v_1xB) being the charge on particle 1 interacting with the electromagnetic fields due to all other particles, can be written in a pure field form F^L_1=-\nabla_1 U^{EM}. In this expression…

综合物理 · 物理学 2012-12-03 Philip H. Butler , Niels G. Gresnigt , Martin B. van der Mark , Peter F. Renaud

We derive the classical dynamics of massless charged particles in a rigorous way from first principles. Since due to ultraviolet divergences this dynamics does not follow from an action principle, we rely on a) Maxwell's equations, b)…

高能物理 - 理论 · 物理学 2015-06-19 Kurt Lechner

Using two new well defined 4-dimensional potential vectors, we formulate the classical Maxwell's field theory in a form which has manifest Lorentz covariance and SO(2) duality symmetry in the presence of magnetic sources. We set up a…

高能物理 - 理论 · 物理学 2009-11-07 Wen-Jun Chen , Kang Li , Carlos Naón

We show that there exists a choice of gauge in which the electromagnetic 4-potential may be written as the difference of two 4-velocity vector fields describing the motion of a two-component space-filling relativistic fluid. Maxwell's…

经典物理 · 物理学 2010-12-13 Sabbir Rahman

A general law for electromagnetic induction phenomena is derived from Lorentz force and Maxwell equation connecting electric field and time variation of magnetic field. The derivation provides with a unified mathematical treatment the…

经典物理 · 物理学 2007-05-23 Giuseppe Giuliani

It is commonly believed as a fundamental principle that energy-momentum conservation of a physical system is the result of space-time symmetry. However, for classical particle-field systems, e.g., charged particles interacting through…

等离子体物理 · 物理学 2015-04-20 Hong Qin , J. W. Burby , Ronald C. Davidson

That the speed of light is a universal constant is a logical consequence of Maxwell's equations. Here we show the converse is also true. Electromagnetism (EM) and electrodynamics (ED), in all details, can be derived from two simple…

经典物理 · 物理学 2013-12-24 Yousef Sobouti

We revisit the classical theory of a relativistic massless charged point particle with spin and interacting with an external electromagnetic field. In particular, we give a proper definition of its kinetic energy and its total energy, the…

高能物理 - 理论 · 物理学 2017-12-27 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

The problem of the `infinite energy' of a point charge is well known in connection with the Lorentz--Abraham--Dirac equation and, more significantly, in quantum electrodynamics. Though it is not stated usually, this is strongly related to…

经典物理 · 物理学 2021-05-17 Tamás Matolcsi

The classical theory of radiating point-charges is revisited: the retarded potentials, fields, and currents are defined as nonlinear generalized functions and all calculations are made in a Colombeau algebra. The total rate of…

经典物理 · 物理学 2008-12-31 Andre Gsponer

If the conventional Maxwell--Lorentz formulation of classical electrodynamics is adopted in a flat spacetime of arbitrary odd dimension, then the retarded vector potential $A^\mu$ generated by a point charge turns out to be pure gauge,…

高能物理 - 理论 · 物理学 2011-10-26 Andrew E. Chubykalo , Augusto Espinoza , B. P. Kosyakov

Abraham forces are defined as electromagnetic forces on neutral objects caused by the presence of slow, time-dependent, homogeneous electromagnetic fields. Only a few experimental observations have been reported, and different formulations…

光学 · 物理学 2019-11-20 B. A. van Tiggelen

In the classical theory, an electromagnetic field obeying Maxwell's equations cannot be absorbed quickly by matter, so that it remains a zero point field. Splitting the total, genuine electromagnetic field into the sum of a conventional…

光学 · 物理学 2007-05-23 Jacques Moret-Bailly

The macroscopic equations of Maxwell combined with a generalized form of the Lorentz law are a complete and consistent set; not only are these five equations fully compatible with the special theory of relativity, they also conform with the…

光学 · 物理学 2012-08-07 Masud Mansuripur

Up until now, a consistent causal theory of point charged particles (for example electrons) interacting with electromagnetic field is not known. The well-known problem is that the standard Lorentz force alone (in the case of point…

经典物理 · 物理学 2022-03-08 Pawel Zin

We address a long-standing debate over whether classical magnetic forces can do work, ultimately answering the question in the affirmative. In detail, we couple a classical particle with intrinsic spin and elementary dipole moments to the…

高能物理 - 唯象学 · 物理学 2023-07-28 Jacob A. Barandes

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…

数学物理 · 物理学 2015-11-03 Nikolai N. Bogolubov , Denis Blackmore , Anatolij K. Prykarpatsky

The purpose of this article is twofold. On one hand, we rigorously derive the Newton--Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in agreement with the formal Bohr's correspondence principle of…

偏微分方程分析 · 数学 2022-04-08 Zied Ammari , Marco Falconi , Fumio Hiroshima

The restrictions of analyticity, relativistic (Born) rigidity, and negligible O(a) terms involved in the evaluation of the self electromagnetic force on an extended charged sphere of radius "a" are explicitly revealed and taken into account…

经典物理 · 物理学 2009-01-28 Arthur D. Yaghjian

A cornerstone of physics, Maxwell's theory of electromagnetism, apparently contains a fatal flaw. The standard expressions for the electromagnetic field energy and self-mass of an electron of finite extension do not obey Einstein's famous…

经典物理 · 物理学 2023-02-01 Murat Khokonov , Jens Ulrik Andersen