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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

An exact solution is given to the classical electromagnetic (EM) radiation-reaction (RR) problem, originally posed by Lorentz. This refers to the dynamics of classical non-rotating and quasi-rigid finite size particles subject to an…

Mathematical Physics · Physics 2012-01-10 Claudio Cremaschini , Massimo Tessarotto

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

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

Classical radiation reaction is the effect of the electromagnetic field emitted by an accelerated electric charge on the motion of the charge itself. The self-consistent underlying classical equation of motion including radiation-reaction…

Plasma Physics · Physics 2016-12-14 A. Di Piazza , T. N. Wistisen , U. I. Uggerhøj

The radiation reaction for a point-like charge coupled to a massive scalar field is considered. The retarded Green's function associated with the Klein-Gordon wave equation has support not only on the future light cone of the emission point…

Mathematical Physics · Physics 2012-07-23 Yurij Yaremko

In the framework of the classical Maxwell-Lorentz electrodynamics the energy conservation law is reconsidered.

Classical Physics · Physics 2007-05-23 E. G. Bessonov

A polarizable body moving in an external electromagnetic field will slow down. This effect is referred to as radiation damping and is analogous to Doppler cooling in atomic physics. Using the principles of special relativity we derive an…

Optics · Physics 2017-10-11 Lukas Novotny

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

Starting from the Dirac equation coupled to a classical radiation field a set of equations of motion for charged quasi-particles in the classical limit for slowly varying radiation and matter fields is derived. The radiation reaction term…

Classical Physics · Physics 2016-11-15 Hartmut Ruhl , Christian Herzing

Consider two capacitors in parallel, but initially isolated by a switch such that one is charged and the other not. After the switch is closed, the charges redistribute themselves in such a way that the final electrostatic energy is less…

Classical Physics · Physics 2007-05-23 Kirk T. McDonald

We investigate the dynamics of a relativistic electron in a strongly nonlinear plasma wave in terms of classical mechanics by taking into account the action of the radiative reaction force. The two limiting cases are considered. In the…

Accelerator Physics · Physics 2010-11-11 I. Kostyukov , E. Nerush , A. Pukhov

We compute the energy that is radiated from a fluctuating selfdual string in the large $N$ limit of $A_{N-1}$ theory using the AdS-CFT correspondence. We find that the radiated energy is given by a non-local expression integrated over the…

High Energy Physics - Theory · Physics 2009-11-11 Andreas Gustavsson

It is generally accepted that the dynamics of relativistic particles in the lab frame can be described by taking into account the relativistic dependence of the particles momenta on the velocity, with no reference to Lorentz…

Accelerator Physics · Physics 2017-04-07 Gianluca Geloni , Vitali Kocharyan , Evgeni Saldin

We study the radiation reaction acting on an accelerating charge moving in noncommutative spacetime and obtain an expression for it. Radiation reaction, due to a nonrelativistic point charge, is found to receive a small noncommutative…

Classical Physics · Physics 2022-03-02 V. Veera Reddy , Sashideep Gutti , Asrarul Haque

New, gauge-independent, second-order Lagrangian for the motion of classical, charged test particles is proposed. It differs from the standard, gauge-dependent, first order Lagrangian by boundary terms only. A new method of deriving…

Classical Physics · Physics 2015-06-26 D. Chruscinski , J. Kijowski

The radiative correction to the equation of motion for a moving charged particle is one of the oldest open problems in physics. The problem originates in the emission of radiation by an accelerated charge, which must result in a loss of…

Classical Physics · Physics 2023-12-20 Yarden Sheffer , Yaron Hadad , Morgan H. Lynch , Liang Jie Wong , Ido Kaminer

Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

We derive a modified non-perturbative Lorentz-Abraham-Dirac equation. It satisfies the proper conservation laws, particularly, it conserves the generalized momentum, the latter property eliminates the symmetry-breaking runaway solution. The…

Classical Physics · Physics 2009-11-28 Igor V. Sokolov , Natalia M. Naumova , John A. Nees , Gerard A. Mourou , Victor P. Yanovsky

Based on the analysis of biquaternion quadratic forms of field, it is shown that Maxwell equations arise as a consequence of the principle of conservation of the energy-momentum flow of field in space-time. It turns out that this principle…

Classical Physics · Physics 2024-03-05 Sergey Y. Kotkovskiy
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