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It is argued that, contrary to conventional wisdom, no trustworthy universal self-force/radiative corrections to the Lorentz force equation, can be derived from the basic tenets of classical electrodynamics. This concords with the apparent…

Quantum Physics · Physics 2024-02-13 Yehonatan Knoll

The emission of radiation by a uniformly accelerated charge is analyzed. According to the standard approach, a radiation is observed whenever there is a relative acceleraion between the charge and the observer. Analyzing difficulties that…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Amso Harpaz , Noam Soker

Classical theories of radiation reaction predict that the electron motion is confined to the plane defined by the electron's instantaneous momentum and the force exerted by the external electromagnetic field. However, in the quantum…

Plasma Physics · Physics 2020-01-15 T. G. Blackburn , D. Seipt , S. S. Bulanov , M. Marklund

We present a partial differential equation describing the electromagnetic potentials around a charge distribution undergoing rigid motion at constant proper acceleration, and obtain a set of solutions to this equation. These solutions are…

Classical Physics · Physics 2014-02-06 Andrew M. Steane

Two formulations of the Lorentz law of force in classical electrodynamics yield identical results for the total force (and total torque) of radiation on a solid object. The object may be surrounded by the free space or immersed in a…

Optics · Physics 2012-07-27 Masud Mansuripur , Armis R. Zakharian , Jerome V. Moloney

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

We propose classical equations of motion for a charged particle with magnetic moment, taking radiation reaction into account. This generalizes the Landau-Lifshitz equations for the spinless case. In the special case of spin-polarized motion…

High Energy Physics - Theory · Physics 2012-07-05 Arnab Kar , S. G. Rajeev

We derive the force of the electromagnetic radiation on material objects by a direct application of the Lorentz law of classical electro-dynamics. The derivation is straightforward in the case of solid metals and solid dielectrics, where…

Optics · Physics 2013-12-12 Masud Mansuripur

F. Rohrlich has recently published two papers, including the paper under review, advocating a particular delay-differential equation as an approximate equation of motion for classical charged particles, which he characterizes as providing a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stephen Parrott

It is shown, that the radiation of the charge, moving with uniform acceleration or uniformly moving round a circle and also freely moving in a gravitational field, contradicts the principle of equivalence. It is also shown, that the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stanislav Tereshchenko

We examine the motion of a charged particle in a weak gravitational field. In addition to the Newtonian gravity exerted by a large central body, the particle is subjected to an electromagnetic self-force that contains both a conservative…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Adam Pound , Eric Poisson

The classical electrodynamic system of field and a single point-like source is considered in even-dimensional space-time. The problem of self-interaction is discussed. It is manifestly shown that all singular terms appearing in these…

High Energy Physics - Theory · Physics 2008-11-26 D. Galakhov

We calculate the self-force on an electric charge and electric dipole held at rest in a closed universe that results from joining two copies of Minkowski spacetime at a common boundary. Spacetime is strictly flat on each side of the…

General Relativity and Quantum Cosmology · Physics 2018-06-05 Karl Davidson , Eric Poisson

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

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

We present here the extended-object approach for the explanation and calculation of the self-force phenomenon. In this approach, one considers a charged extended object of a finite size $\epsilon$ that accelerates in a nontrivial manner,…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Amos Ori , Eran Rosenthal

These notes provide two derivations of the Lorentz-Dirac equation. The first is patterned after Landau and Lifshitz and is based on the observation that the half-retarded minus half-advanced potential is entirely responsible for the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eric Poisson

A uniformly-charged spherical shell of radius $R$, mass $m$, and total electrical charge $q$, having an oscillatory angular velocity $\Omega(t)$ around a fixed axis, is a model for a magnetic dipole that radiates an electromagnetic field…

Classical Physics · Physics 2020-08-27 Masud Mansuripur , Per K. Jakobsen

Radiation reaction is the influence of the electromagnetic field emitted by a charged particle on the dynamics of the particle itself. Here we report experimental radiation emission spectra from ultrarelativistic positrons in silicon in a…

High Energy Physics - Experiment · Physics 2018-02-26 Tobias N. Wistisen , Antonino Di Piazza , Helge V. Knudsen , Ulrik I. Uggerhøj

Simple expression for self-force acting on radiating rigid charged ball is derived (Sommerfeld ball). It is shown that appropriate delayed equation of motion has solutions in general differ from that for Sommerfeld sphere - there are no…

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov
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