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We show that it is possible to obtain self-consistent and physically acceptable relativistic classical equations of motion for a point-like spin-half particle possessing an electric charge and a magnetic dipole moment, directly from a…

High Energy Physics - Phenomenology · Physics 2015-06-25 John P. Costella , Bruce H. J. McKellar

We discuss the radiation reaction problem for an electric charge moving in flat space-time of arbitrary dimensions. It is shown that four is the unique dimension where a local differential equation exists accounting for the radiation…

High Energy Physics - Theory · Physics 2009-11-07 D. V. Gal'tsov

Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-field (or radiation reaction) of an accelerated point-charge traveling in free space. We obtain…

Classical Physics · Physics 2018-09-18 Masud Mansuripur

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

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

An accelerated charged particle emits electromagnetic radiation. If the driving force is sufficiently strong, the radiated energy becomes comparable to the kinetic energy of the particle and the back-action of the emitted radiation…

High Energy Physics - Experiment · Physics 2020-09-23 Christian F. Nielsen , Jens B. Justesen , Allan H. Sørensen , Ulrik I Uggerhøj , Robert Holtzapple

Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-force (or radiation reaction) of an accelerated point-charge traveling in free space. In addition to…

Classical Physics · Physics 2019-02-11 Masud Mansuripur

While he derived the equation for the radiation force, Dirac (1938) mentioned a possibility to use different choices for the 4-momentum of an emitting electron. Particularly, the 4-momentum could be non-colinear to the electron 4-velocity.…

Classical Physics · Physics 2015-05-13 Igor V. Sokolov

Energy-momentum and angular momentum carried by electromagnetic field of two point-like charged particles arbitrarily moving in flat spacetime are presented. Apart from usual contributions to the Noether quantities produced separately by…

Classical Physics · Physics 2010-01-07 Yurij Yaremko

We are interested in the motion of a classical charge acted upon an external constant electromagnetic field where the back reaction of the particle's own field is taken into account. The Landau-Lifshitz approximation to the…

High Energy Physics - Theory · Physics 2017-05-03 Yurij Yaremko

We investigate the relativistic generalization of the classical St\"{o}rmer problem, which describes the motion of charged particles in a purely magnetic dipole field. By incorporating special relativistic effects, the particle dynamics is…

High Energy Astrophysical Phenomena · Physics 2026-05-07 Tiberiu Harko , Francisco S. N. Lobo

A point particle of mass m moving on a geodesic creates a perturbation h, of the spacetime metric g, that diverges at the particle. Simple expressions are given for the singular m/r part of h and its quadrupole distortion caused by the…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler

We study the electromagnetic fields of an arbitrarily moving charged particle and the radiation reaction on the charged particle using a novel approach. We first show that the fields of an arbitrarily moving charged particle in an inertial…

Classical Physics · Physics 2009-10-30 Abhinav Gupta , T. Padmanabhan

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

Relativistically covariant form of equation of motion for real particle (neutral in charge) under the action of electromagnetic radiation is derived. Various formulations of the equation of motion in the proper frame of reference of the…

Astrophysics · Physics 2007-05-23 Jozef Klacka

The identity of classical motion is established for two physically different models, one of which is the relativistic particle with torsion, whose action contains higher derivatives and which is the effective system for the statistically…

High Energy Physics - Theory · Physics 2008-02-03 Mikhail S. Plyushchay

We consider the general problem of charged particle motion in a strong electromagnetic field of arbitrary configuration and find a universal behaviour: for sufficiently high field strengths, the radiation losses lead to a general tendency…

Plasma Physics · Physics 2018-10-17 Arkady Gonoskov , Mattias Marklund

We give a new representation as tempered distribution for the energy-momentum tensor of a system of charged point-particles, which is free from divergent self-interactions, manifestly Lorentz-invariant and symmetric, and conserved. We…

High Energy Physics - Theory · Physics 2008-11-26 K. Lechner , P. A. Marchetti

The angular momentum of radiation from an arbitrarily moving relativistic charge is studied. The angular momentum is presented as the sum of the angular momentum relative to the point where the charge is located at a retarded moment of time…

Classical Physics · Physics 2024-08-27 Vladimir Epp , Ulyana Guselnikova , Julia Janz

The problem of determining the radiation reaction force experienced by a scalar charge moving in flat spacetime is investigated. A consistent renormalization procedure is used, which exploits the Poincar\'e invariance of the theory.…

Classical Physics · Physics 2009-07-20 Yurij Yaremko