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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 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 effective equations of motion for a point charged particle taking account of radiation reaction are considered in various space-time dimensions. The divergencies steaming from the pointness of the particle are studied and the effective…

High Energy Physics - Theory · Physics 2009-11-07 P. O. Kazinski , S. L. Lyakhovich , A. A. Sharapov

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 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

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 problem of the self-interaction of a quasi-rigid classical particle with an arbitrary spherically symmetric charge distribution is completely solved up to the first order in the acceleration. No ad hoc assumptions are made. It is shown…

Classical Physics · Physics 2007-05-23 Rodrigo Medina

We study radiation reaction in a Lorentz violating electrodynamics [1]. We explore the possible modification whatsoever present in the radiation reaction force experienced by an accelerating charge in the modified Maxwell theory. However it…

Classical Physics · Physics 2017-08-01 Veera Reddy Vippala , Sashideep Gutti , Asrarul Haque

We develop a numerical formulation to calculate the classical motion of charges in strong electromagnetic fields, such as those occurring in high-intensity laser beams. By reformulating the dynamics in terms of SL(2,C) matrices representing…

Classical Physics · Physics 2011-05-12 C. Harvey , T. Heinzl , N. Iji , K. Langfeld

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 many astrophysically relevant situations radiation reaction force acting upon a charge can not be neglected and the question arises about the location and stability of circular orbits in such regime. Motion of point charge with radiation…

General Relativity and Quantum Cosmology · Physics 2019-01-24 Arman Tursunov , Martin Kološ , Zdeněk Stuchlík , Dmitri V. Gal'tsov

A self-action problem for a pointlike charged particle arbitrarily moving in flat spacetime of three dimensions is considered. Outgoing waves carry energy-momentum and angular momentum; the radiation removes energy and angular momentum from…

Classical Physics · Physics 2009-07-20 Yurij Yaremko

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

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

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

We consider a self-action problem for an electric charge arbitrarily moving in flat spacetime of three dimensions. Its electromagnetic field satisfies the Maxwell equations in Minkowski space of three dimensions. In this space…

Mathematical Physics · Physics 2012-07-24 Yurij Yaremko

Studies of the classical theory of charged particles and their radiation initiated by Lorentz and Abraham have attracted our attention over a century. Nevertheless, the correct equation to describe the motion of a point charged particle is…

Mathematical Physics · Physics 2012-07-24 Yurij Yaremko , Volodymyr Tretyak

Despite the many successes of the relativistic quantum theory developed by Horwitz, et. al., certain difficulties persist in the associated covariant classical mechanics. In this paper, we explore these difficulties through an examination…

High Energy Physics - Theory · Physics 2009-10-30 M. C. Land

It is well-known that the 5D gauge structure of Stueckelberg-Horwitz-Piron (SHP) electrodynamics permits the exchange of mass between particles and the fields induced by their motion, even at the classical level. This phenomenon presents…

General Physics · Physics 2016-04-22 Martin Land

In a relativistic classical and quantum mechanics with Poincare-invariant parameter, particle worldlines are traced out by the evolution of spacetime events. In pre-Maxwell electrodynamics -- the local gauge theory associated with this…

High Energy Physics - Theory · Physics 2009-12-30 Martin Land
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