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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

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

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

This paper considers the relativistic motion of charged particles coupled with electromagnetic fields in the higher-order theory proposed by Bopp, Land\'e--Thomas, and Podolsky. We rigorously derive a world-line integral expression for the…

Mathematical Physics · Physics 2024-06-19 Alan Baza , Aaron DeLeon , Angel Harb , Vu Hoang , Maria Radosz

Accelerated charges emit electromagnetic radiation and the consequent energy-momentum loss alters their trajectory. This phenomenon is known as radiation reaction and the Landau-Lifshitz (LL) equation is the classical equation of motion of…

High Energy Physics - Phenomenology · Physics 2021-07-14 A. Di Piazza , G. Audagnotto

Classical radiation reaction is the effect of the electromagnetic field emitted by an accelerated electric charge on the motion of the charge itself. The self-consistent underlying classical equation of motion including radiation-reaction…

Plasma Physics · Physics 2016-12-14 A. Di Piazza , T. N. Wistisen , U. I. Uggerhøj

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

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

In coherent radiation of an ensemble of electrons, radiation field from electrons resonantly drives the other electrons inside to produce stimulated emission. The radiation reaction force on the electrons accounting for this stimulated…

Accelerator Physics · Physics 2024-07-12 Zhuoyuan Liu , Xiujie Deng , Tong Li , Lixin Yan

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

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 this work, we analyze a Lagrangian formalism recently proposed to approach the issue of the Abraham-Lorentz force. Instead of involving only position and velocity, as usual in Classical Mechanics, this Lagrangian involves the…

High Energy Physics - Theory · Physics 2015-04-21 Reinaldo de Melo e Souza , J. A. Helayël Neto

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

The radiative correction to the equation of motion for a moving charged particle is one of the oldest open problems in physics. The problem originates in the emission of radiation by an accelerated charge, which must result in a loss of…

Classical Physics · Physics 2023-12-20 Yarden Sheffer , Yaron Hadad , Morgan H. Lynch , Liang Jie Wong , Ido Kaminer

We compare the behavior of a charged particle in a gravitational field and empty space. We resolve the apparent conflict between the Lorentz-Dirac equation and Larmor's formula of radiation by noting that the former describes an electron…

General Relativity and Quantum Cosmology · Physics 2014-04-11 Viktor T. Toth

It is shown how initial conditions can be appropriately defined for the integration of Lorentz-Dirac equations of motion. The integration is performed \QTR{it}{forward} in time. The theory is applied to the case of the motion of an electron…

General Physics · Physics 2009-11-07 M. S. Hussein , M. P. Pato , J. C. Wells

Starting from delay equations that model field retardation effects, we study the origin of runaway modes that appear in the solutions of the classical equations of motion involving the radiation reaction force. When retardation effects are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Chicone , S. M. Kopeikin , B. Mashhoon , D. G. Retzloff

It is underlined that the Lienard-Wiechert solutions indicate that after the external force is instantly removed from a small charged particle, the field in its close neighborhood becomes a Lorentz boosted Coulomb field. It suggests that…

General Relativity and Quantum Cosmology · Physics 2013-09-13 Alejandro Cabo Montes de Oca , Jorge Castiñeiras

The Abraham-Lorentz-Dirac equation for a point electron, while suffering from runaway solutions and an acausal response to external forces, is compatible with the optical theorem. We show that a theory of radiative reaction that allows for…

Quantum Physics · Physics 2015-05-28 F. Intravaia , R. Behunin , P. W. Milonni , G. W. Ford , R. F. O'Connell

We derive a modified non-perturbative Lorentz-Abraham-Dirac equation. It satisfies the proper conservation laws, particularly, it conserves the generalized momentum, the latter property eliminates the symmetry-breaking runaway solution. The…

Classical Physics · Physics 2009-11-28 Igor V. Sokolov , Natalia M. Naumova , John A. Nees , Gerard A. Mourou , Victor P. Yanovsky