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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

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 investigate radiation-reaction effects for a charged scalar particle accelerated by an external potential realized as a space-dependent mass term in quantum electrodynamics. In particular, we calculate the position shift of the…

Quantum Physics · Physics 2014-11-18 Atsushi Higuchi

The classical theory of radiating point-charges is revisited: the retarded potentials, fields, and currents are defined as nonlinear generalized functions and all calculations are made in a Colombeau algebra. The total rate of…

Classical Physics · Physics 2008-12-31 Andre Gsponer

A renormalization scheme which relies on energy-momentum and angular momentum balance equations is applied to the derivation of effective equation of motion for a massless point-like charge. Unlike the massive case, the rates of radiated…

Mathematical Physics · Physics 2009-07-22 Yurij Yaremko

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 classical theory of radiating point-charges is revisited: the retarded potentials, fields, and currents are defined as nonlinear generalized functions. All calculations are made in a Colombeau algebra, and the spinor representations…

Classical Physics · Physics 2008-12-31 Andre Gsponer

We study a classical model of Helium atom in which, in addition to the Coulomb forces, the radiation reaction forces are taken into account. This modification brings in the model a new qualitative feature of a global character. Indeed, as…

Mathematical Physics · Physics 2015-06-03 G. Camelio , A. Carati , L. Galgani

The rates of chemical reactions are not absolute but their magnitude depends upon the relative speeds of the moving observers. This has been proved by unifying theories of chemical kinetics, which are transition state theory, collision…

General Physics · Physics 2017-06-13 Mirza Wasif Baig

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

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

Classical radiation from a single relativistically accelerating electron is investigated where the temperature characterizing the system highlights the dependence on acceleration. In the context of the dynamic Casimir effect with…

General Relativity and Quantum Cosmology · Physics 2023-07-20 Evgenii Ievlev , Michael R. R. Good

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

The work is devoted to studying some new classical electrodynamics models of interacting charged point particles and related with them physical aspects. Based on the vacuum field theory no-geometry approach, developed in \cite{BPT,BPT1},…

General Relativity and Quantum Cosmology · Physics 2013-02-19 N. N. Bogolubov , A. K. Prykarpatsky

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

Standard formulae of classical electromagnetism for the forces between electric charges in motion derived from retarded potentials are compared with those obtained from a recently developed relativistic classical electrodynamic theory with…

Classical Physics · Physics 2009-11-11 J. H. Field

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

The interplay between acceleration and radiation harbors remarkable and surprising consequences. One of the most striking is that the Larmor radiation emitted by a charge can be seen as a consequence of the Unruh thermal bath. Indeed, this…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Andre G. S. Landulfo , Stephen A. Fulling , George E. A. Matsas

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

By means of a brief review of the derivation of the causal modified Lorentz-Abraham-Dirac classical equation of motion from the renormalization of the mass in the modified equation of motion of an extended charged sphere as its radius…

Classical Physics · Physics 2026-04-15 Arthur D. Yaghjian
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