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In 1892 H.A. Lorentz started the search for a classical equation of motion for pointlike charged particles that takes into account the radiation reaction force. This search culminated in the Lorentz-Abraham-Dirac equation of motion, which…

经典物理 · 物理学 2007-05-23 Marijan Ribaric , Luka Sustersic

F. Rohrlich has recently published two papers, including the paper under review, advocating a particular delay-differential equation as an approximate equation of motion for classical charged particles, which he characterizes as providing a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Stephen Parrott

The non-relativistic Goedecke equation (1975), which describes the motion of a point charge taking into account the radiation reaction, has no "runaway" solutions. A "physical" method of covariant generalization of this equation is…

经典物理 · 物理学 2026-05-25 Anatoliy V. Sermyagin

We show that the Lorentz-Dirac equation is not an unavoidable consequence of energy-momentum conservation for a point charge. What follows solely from conservation laws is a less restrictive equation already obtained by Honig and Szamosi.…

经典物理 · 物理学 2017-11-21 J. M. Aguirregabiria , J. Llosa , A. Molina

Using physical arguments, I derive the physically correct equations of motion for a classical charged particle from the Lorentz-Abraham-Dirac equations (LAD) which are well known to be physically incorrect. Since a charged particle can…

经典物理 · 物理学 2009-11-13 Fritz Rohrlich

It is widely believed that classical electromagnetism is either unphysical or inconsistent, owing to pathological behavior when self-force and radiation reaction are non-negligible. We argue that there is no inconsistency as long as it is…

经典物理 · 物理学 2015-10-13 Andrew M. Steane

The search of the correct equation of motion for a classical charged particle under the action of its electromagnetic (EM) self-field, the so-called \textit{radiation-reaction equation of motion}, remains elusive to date. In this paper we…

经典物理 · 物理学 2009-11-13 M. Dorigo , M. Tessarotto , P. Nicolini , A. Beklemishev

A critical look at the Landau-Lifshitz equation, which has been recently advocated as an "exact" relativistic classical equation for the motion of a point charge with radiation reaction, demonstrates that it generally does not conserve…

经典物理 · 物理学 2007-05-23 W. E. Baylis , J. Huschilt

The classical equation of motion of a charged point particle, including its radiation reaction, is described by the Lorentz-Dirac equation. We found a new class of solutions that describe tunneling (in a completely classical context!). For…

高能物理 - 理论 · 物理学 2007-05-23 Frederik Denef , Joris Raeymaekers , Urban M. Studer , Walter Troost

The equation derived by F. Rohrlich (Phys. Rev. E 77, 046609 (2008)) has been known for 60 years (C. J. Eliezer, Proc. Royal Soc. London. Ser. A 194, 543 (1948)). For a long time this equation has been considered to be incorrect. If there…

经典物理 · 物理学 2009-04-16 N. M. Naumova , I. V. Sokolov

We inquire into classical and quantum laws of motion for the point charge sources in the nonlinear Maxwell-Born-Infeld field equations of classical electromagnetism in flat and curved Einstein spacetimes.

数学物理 · 物理学 2011-07-25 Michael K. -H. Kiessling

Here we comment on the paper by Arthur D. Yaghjian, Phys. Rev. E 78, 046606 (2008) (arXiv:0805.0142). The author provides an equation of motion for a point charged particle in a certain regime of system parameters (on the other hand,…

经典物理 · 物理学 2025-11-06 Paweł Zin , Maciej Pylak

An unsolved problem of classical mechanics and classical electrodynamics is the search of the exact relativistic equations of motion for a classical charged point-particle subject to the force produced by the action of its EM self-field.…

经典物理 · 物理学 2009-11-13 M. Tessarotto , M. Dorigo , C. Cremaschini , P. Nicolini , A. Beklemishev

The Lorentz-Abraham-Dirac equations (LAD) may be the most commonly accepted equation describing the motion of a classical charged particle in its electromagnetic field. However, it is well known that they bare several problems. In…

经典物理 · 物理学 2021-03-03 Christian Bild , Hartmut Ruhl , Dirk-Andre Deckert

We propose classical equations of motion for a charged particle with magnetic moment, taking radiation reaction into account. This generalizes the Landau-Lifshitz equations for the spinless case. In the special case of spin-polarized motion…

高能物理 - 理论 · 物理学 2012-07-05 Arnab Kar , S. G. Rajeev

Rohrlich's recent claim that the equation of motion for a point charge be symmetric under time reversal is shown to be the result of an unusual definition. The equation of motion for a charged sphere of finite size, which in contrast is…

经典物理 · 物理学 2007-05-23 H. D. Zeh

Starting from the Dirac equation coupled to a classical radiation field a set of equations of motion for charged quasi-particles in the classical limit for slowly varying radiation and matter fields is derived. The radiation reaction term…

经典物理 · 物理学 2016-11-15 Hartmut Ruhl , Christian Herzing

We present equations of motion for charged particles using balanced equations, and without introducing explicitly divergent quantities. This derivation contains as particular cases some well known equations of motion, as the Lorentz-Dirac…

广义相对论与量子宇宙学 · 物理学 2012-03-08 Emanuel Gallo , Osvaldo M. Moreschi

We present a stochastic theory of charges moving in an electromagnetic field using nonequilibrium quantum field theory. We give a first principles' derivation of the Abraham-Lorentz-Dirac-Langevin equation which depicts the quantum…

量子物理 · 物理学 2007-05-23 Philip R. Johnson , B. L. Hu

We obtain by invariance arguments the relativistic and non-relativistic invariant dynamical equations of a classical model of a spinning electron. We apply the formalism to a particular classical model which satisfies Dirac's equation when…

经典物理 · 物理学 2008-11-26 Martin Rivas
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