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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…

Classical Physics · Physics 2021-03-03 Christian Bild , Hartmut Ruhl , Dirk-Andre Deckert

The Lorentz-Abraham-Dirac (LAD) equation has proved valuable in describing the motion of radiating electric charges but suffers from runaway, pre-acceleration and other ambiguities. The usual scheme is problematic because of locality, which…

Classical Physics · Physics 2016-11-24 Sofiane Faci , Mario Novello

We review and compare two different approaches to radiation reaction in classical electrodynamics of point charges: a local calculation of the self-force using the charge equation of motion and a global calculation consisting in integration…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri V. Gal'tsov , Pavel Spirin

The dynamics of a radiating charge is one of the oldest unsettled problems in classical physics. The standard Lorentz-Abraham-Dirac (LAD) equation of motion is known to suffer from several pathologies and ambiguities. This paper briefly…

High Energy Physics - Theory · Physics 2016-11-22 Sofiane Faci , José A. Helayel-Neto , V. H. Satheeshkumar

A fundamental issue in classical electrodynamics is represented by the search of the exact equation of motion for a classical charged particle under the action of its electromagnetic (EM) self-field - the so-called radiation-reaction…

Classical Physics · Physics 2008-09-22 M. Tessarotto , C. Cremaschini , M. Dorigo

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 radiative response of the classical electron is commonly described by the Lorentz-Abraham-Dirac (LAD) equation. Dirac's derivation of this equation is based on energy and momentum conservation laws and on regularization of the field…

Classical Physics · Physics 2015-07-03 Anatoli Babin

After a brief review of the modified (by transition forces) causal Lorentz-Abraham (LA) classical equation of motion for an extended charged sphere and its limit to the mass-renormalized modified causal Lorentz-Abraham-Dirac (LAD) equation…

Classical Physics · Physics 2026-04-15 Arthur D. Yaghjian

Abraham Lorentz (AL) formula of Radiation Reaction and its relativistic generalization, Abraham Lorentz Dirac (ALD) formula, are valid only for periodic (accelerated) motion of a charged particle, where the particle returns back to its…

Classical Physics · Physics 2018-06-15 Nikhil D. Hadap

The quantum interpretation of classical radiation reaction coming from the near electromagnetic self-force (the so-called "Schott term") is given for the first time. The analysis is based on the Landau--Lifshitz equation for classical…

Atomic Physics · Physics 2023-02-01 Murat Khokonov

The subject of radiation reaction in classical electromagnetism remains controversial over 120 years after the pioneering work of Lorentz. We give a simple but rigorous treatment of the subject at the textbook level that explains the…

High Energy Physics - Theory · Physics 2019-09-04 Mario D'Andrea , Markus A. Luty , Christopher B. Verhaaren

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…

Classical Physics · Physics 2009-11-13 M. Dorigo , M. Tessarotto , P. Nicolini , A. Beklemishev

There are known problems of Lorentz-Dirac equation for moving with acceleration charged particle in classical electrodynamics. The model of extended in one dimension particle is proposed and shown that electromagnetic self-interaction can…

High Energy Physics - Theory · Physics 2007-05-23 Alexander A. Vlasov

We present and numerically solve a modified form of the equation of motion for a charged particle under the influence of an external force, taking into account the radiation reaction. This covariant equation is integrodifferential, as…

Classical Physics · Physics 2013-09-25 Guillermo Garcia Alcaine , Felipe J. Llanes-Estrada

LaTeX transcription (2025) of a 1989 honours thesis (University of Adelaide) on point charges in classical electrodynamics and the Lorentz-Dirac radiation-reaction equation. The thesis reviews the retarded field of an arbitrarily moving…

Classical Physics · Physics 2025-12-23 Jonathan Baxter

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

It has been shown by Gupta and Padmanabhan that the radiation reaction force of the Abraham-Lorentz-Dirac equation can be obtained by a coordinate transformation from the inertial frame of an accelerating charged particle to that of the…

Classical Physics · Physics 2014-11-18 O. Oron , L. P. Horwitz

The radiation-reaction problem in classical electrodynamics has long resisted a consistent solution: the Abraham-Lorentz-Dirac equation admits runaways and pre-acceleration, while the Landau-Lifshitz (LL) equation avoids these pathologies…

Classical Physics · Physics 2025-10-08 Hadi Z. Olyaei

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

Motion of a point charge emitting radiation in an electromagnetic field obeys the Abraham-Lorenz-Dirac (ALD) equation, with the effects of radiation reaction or self-force incorporated. This class of equations describing backreaction,…

High Energy Physics - Theory · Physics 2022-12-29 Jen-Tsung Hsiang , Bei-Lok Hu
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