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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

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

The problem of self forces and radiation reaction is solved by conservation of energy methods. The longstanding problem of constant acceleration is solved, and it is shown that the self force does indeed affect the particle's motion, as…

Classical Physics · Physics 2009-07-22 Richard T Hammond

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

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

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 problem of the electromagnetic radiation of an accelerated charged particle is one of the most controversial issues in Physics since the beginning of the last century, representing one of the most popular unsolved problems of the Modern…

We address some questions related to radiation and energy conservation in classical electromagnetism. We first treat the well-known problem of energy accounting during radiation from a uniformly accelerating particle. We present the problem…

Classical Physics · Physics 2018-10-08 Andrew M. Steane

A charged particle which is allowed to accelerate must have relativistic behavior because it is coupled to electromagnetic radiation which propagates at the speed of light. We treat the simple steady-state situation of a charged particle…

Classical Physics · Physics 2023-08-02 Timothy H. Boyer

An accelerating electric charge coupled to its own electromagnetic (EM) field both emits radiation and experiences the radiation's reaction as a (self-)force. Considering the system from an Effective Field Theory perspective, and using the…

Classical Physics · Physics 2015-01-22 Ofek Birnholtz

A fully relativistically covariant formulation of the classical Maxwell electrodynamics of an arbitrarily-moving point charge is presented, purely in terms of gauge invariant potentials without entailing any gauge fixing. A new,…

Classical Physics · Physics 2019-05-21 Anarya Ray , Parthasarathi Majumdar , Zahid Ansari

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

It is proposed a Lagrangian for the quasi-rigid extended charged particle, which consists of a bare point particle term plus the standard electromagnetic minimal coupling. The quasi-rigid motion is imposed as a constraint. The extension of…

High Energy Physics - Theory · Physics 2008-11-26 Rodrigo Medina

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 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

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

Up until now, a consistent causal theory of point charged particles (for example electrons) interacting with electromagnetic field is not known. The well-known problem is that the standard Lorentz force alone (in the case of point…

Classical Physics · Physics 2022-03-08 Pawel Zin

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

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 study a system of a finite size charged particle interacting with radiation field by exploiting the Hamilton's principle for non-conservative system introduced recently by Galley[1]. The said formulation leads to the equation of motion…

Classical Physics · Physics 2016-08-03 Sandeep Aashish , Asrarul Haque
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