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The Abraham-Lorentz force is a finite remnant of the UV singular structure of the self interaction of a point charge with its own field. The satisfactory description of such interaction needs a relativistic regulator. This turns out to be a…

High Energy Physics - Theory · Physics 2019-06-06 Janos Polonyi

It is shown by numerical simulation that classical charged tachyons have self-orbiting helical solutions in a narrow neighborhood of certain discrete values for the velocity when the electromagnetic interaction is described by…

Quantum Physics · Physics 2007-05-23 Mark Davidson

We consider the motion of a spinning relativistic particle with an arbitrary value of spin in external electromagnetic and gravitational fields, to first order in the external field. We use the noncovariant description of spin. An explicit…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. A. Pomeransky , R. A. Sen'kov

In this paper we obtain the expression for the self-force in the model with the Lagrangian containing additional terms, quadratic in Maxwell tensor derivatives (so-called Bopp-Podolsky electrodynamics). Features of this force are analyzed…

High Energy Physics - Theory · Physics 2013-12-23 Alexei E. Zayats

We present a first-principles' prediction that two charged particles of masses M_1 and M_2 separated R apart in a dielectric vacuum act on each other always an attractive force in addition to other known forces in between. This component…

Classical Physics · Physics 2010-02-16 J. X. Zheng-Johansson , P-I. Johansson

The gravitational and electromagnetic fields of a moving charged spinning point particle are obtained in the Lorentz covariant form by transforming the Kerr--Newman solution in Boyer--Lindquist coordinates to the one in the coordinate…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jaegu Kim

The back-reaction effects for the spinning charge moving through the constant homogeneous electromagnetic field are studied in the context of the mass-shift (MS) method. For the g=2 magnetic moment case we find the (complex) addition to the…

High Energy Physics - Theory · Physics 2007-05-23 S. L. Lebedev

The goal of this paper is twofold: to explore the response of classical charges to electromagnetic force at the level of unity in natural units and to establish a criterion that determines physical parameters for which the related…

High Energy Physics - Phenomenology · Physics 2010-12-23 Y. Hadad , L. Labun , J. Rafelski , N. Elkina , C. Klier , H. Ruhl

The problem of the classical non-relativistic electromagnetically kicked oscillator can be cast into the form of an iterative map on phase space. The original work of Zaslovskii {\it et al} showed that the resulting evolution contains a…

High Energy Physics - Theory · Physics 2007-05-23 L. P. Horwitz

We consider a problem of electron motion in different media and magnetic field. It is shown that in case of nonmoving medium and constant homogenious magnetic field the electron energies are quantized. We also discuss the general problem of…

High Energy Physics - Phenomenology · Physics 2011-05-23 I. Balantsev , Yu. Popov , A. Studenikin

We show that the Lorentz force law, F^L_1=q_1(E+v_1xB) being the charge on particle 1 interacting with the electromagnetic fields due to all other particles, can be written in a pure field form F^L_1=-\nabla_1 U^{EM}. In this expression…

General Physics · Physics 2012-12-03 Philip H. Butler , Niels G. Gresnigt , Martin B. van der Mark , Peter F. Renaud

We investigate which are the independent equations of continuum electrodynamics and what is their number, beginning with the standard equations used in special and in general relativity. We check by using differential identities that there…

General Physics · Physics 2018-10-15 Mayeul Arminjon

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

A unified and fully relativistic treatment of the interaction of the electric and magnetic dipole moments of a particle with the electromagnetic field is given. New forces on the particle due to the combined effect of electric and magnetic…

High Energy Physics - Theory · Physics 2009-10-31 Jeeva S. Anandan

Starting from covariant expressions, a gauge independent separation of orbital and spin angular momentum for electrodynamics is presented. This results from the non-symmetric canonical energy momentum tensor of the electromagnetic field.…

Optics · Physics 2017-06-27 Richard T. Hammond

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

The situation of a charged particle passing down the symmetry axis through a magnetic toroid presents a relativity paradox; different inertial frames suggest different forces on the charge and on the toroid due to the unperturbed systems.…

Classical Physics · Physics 2023-06-06 Timothy H. Boyer

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

We generalize the derivation of electromagnetic fields of a charged particle moving with a constant acceleration [1] to a variable acceleration (piecewise constants) over a small finite time interval using Coulomb's law, relativistic…

Classical Physics · Physics 2018-06-25 Sandeep Aashish , Asrarul Haque

We show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged point particles, actually, is a combination of an applied external force and of the electromagnetic radiation reaction force.…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Mario Goto , Paulo Laerte Natti , Erica Regina Takano Natti