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An exact solution is given to the classical electromagnetic (EM) radiation-reaction (RR) problem, originally posed by Lorentz. This refers to the dynamics of classical non-rotating and quasi-rigid finite size particles subject to an…

Mathematical Physics · Physics 2012-01-10 Claudio Cremaschini , Massimo Tessarotto

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…

Classical Physics · Physics 2026-05-25 Anatoliy V. Sermyagin

Current classical theory of radiation reaction has several deficiencies such as "runaway solutions" and violation of causality. The Landau-Lifshitz approximation to the exact equation introduced by Lorentz, Abraham and Dirac is widely used,…

High Energy Physics - Phenomenology · Physics 2014-08-20 Yevgen Kravets

The goal of this paper is twofold: to explore the response of classical charges to electromagnetic force at the level of unity in natural units and to establish a criterion that determines physical parameters for which the related…

High Energy Physics - Phenomenology · Physics 2010-12-23 Y. Hadad , L. Labun , J. Rafelski , N. Elkina , C. Klier , H. Ruhl

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…

High Energy Physics - Theory · Physics 2007-05-23 Frederik Denef , Joris Raeymaekers , Urban M. Studer , Walter Troost

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…

Classical Physics · Physics 2009-11-13 Fritz Rohrlich

In classical electrodynamics for rotating with variable angular velocity charged rigid sphere are found: the exact values of electromagnetic fields, the flux of radiating energy and the exact integral equation of rotation including the…

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

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…

Classical Physics · Physics 2007-05-23 Marijan Ribaric , Luka Sustersic

An unexpected prediction of classical electrodynamics is that a charge can accelerate before a force is applied. We would expect that a preaccelerated charge would radiate so that there would be spontaneous preradiation, an acausal…

Classical Physics · Physics 2009-11-13 Jose A. Heras

We extend our previous work (see arXiv:quant-ph/0501026), which compared the predictions of quantum electrodynamics concerning radiation reaction with those of the Abraham-Lorentz-Dirac theory for a charged particle in linear motion.…

Quantum Physics · Physics 2016-09-08 Atsushi Higuchi , Giles D. R. Martin

We derive effective equations of motion for a massless charged particle coupled to the dynamical electromagnetic field having regard to the radiation back reaction. It is shown that unlike the massive case not all the divergences resulting…

High Energy Physics - Theory · Physics 2014-11-18 P. O. Kazinski , A. A. Sharapov

The Abraham-Lorentz-Dirac theory predicts vanishing radiation reaction for uniformly accelerated charges. However, since an accelerating observer should detect thermal radiation, the charge should be seen absorbing photons in the…

High Energy Physics - Theory · Physics 2021-04-21 Zoltán Tulipánt

The Landau-Lifshitz equation is considered as an approximation of the Abraham-Lorentz-Dirac equation. It is derived from the Abraham-Lorentz-Dirac equation by treating radiation reaction terms as a perturbation. However, while the…

High Energy Physics - Theory · Physics 2014-05-07 Sen Zhang

We calculate the energy radiated coherently by a system of $N$ charged non relativistic particles. It disagrees with the energy loss which is obtained if one employs the Lorentz Abraham Dirac (LAD) equation for each particle, and sums up…

Classical Physics · Physics 2015-07-22 Dieter Gromes

A kinetic theory is developed to describe radiating electrons whose motion is governed by the Lorentz-Dirac equation. This gives rise to a generalized Vlasov equation coupled to an equation for the evolution of the physical submanifold of…

Mathematical Physics · Physics 2015-06-11 A. Noble , J. Gratus , D. A. Burton , D. A. Jaroszynski

A point charge is frequently approximated by various charge distributions deriving the Lorentz-Abraham-Dirac (LAD) equation. Here a rigid spherical shell is treated from this point of view. This particular continuum model is excellent to…

Mathematical Physics · Physics 2021-04-20 T. Matolcsi , P. Ván

A model for the dynamics of a classical point charged particle interacting with higher order jet fields is introduced. In this model, the dynamics of the charged particle is described by an implicit ordinary second order differential…

Mathematical Physics · Physics 2020-03-10 Ricardo Gallego Torromé

Photon emission from a uniformly accelerated charge is among the most mysterious physical phenomena. Theories based on the Lorentz-Abraham-Dirac equation mostly conclude that a uniformly accelerated point charge cannot feel radiation…

Classical Physics · Physics 2021-07-02 Teyoun Kang , Adam Noble , Samuel R. Yoffe , Dino A. Jaroszynski , Min Sup Hur

We study the radiation reaction acting on an accelerating charge moving in noncommutative spacetime and obtain an expression for it. Radiation reaction, due to a nonrelativistic point charge, is found to receive a small noncommutative…

Classical Physics · Physics 2022-03-02 V. Veera Reddy , Sashideep Gutti , Asrarul Haque

The radiation reaction problem for an electric charge moving in flat space-time of three dimensions is discussed. The divergences stemming from the pointness of the particle are studied. A consistent regularization procedure is proposed,…

Classical Physics · Physics 2009-07-20 Yurij Yaremko