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We investigate the relativistic generalization of the classical St\"{o}rmer problem, which describes the motion of charged particles in a purely magnetic dipole field. By incorporating special relativistic effects, the particle dynamics is…

High Energy Astrophysical Phenomena · Physics 2026-05-07 Tiberiu Harko , Francisco S. N. Lobo

In many astrophysically relevant situations radiation reaction force acting upon a charge can not be neglected and the question arises about the location and stability of circular orbits in such regime. Motion of point charge with radiation…

General Relativity and Quantum Cosmology · Physics 2019-01-24 Arman Tursunov , Martin Kološ , Zdeněk Stuchlík , Dmitri V. Gal'tsov

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

As it is known a model of a charged particle with finite size is a good tool to consider the effects of self- action and backreaction, caused by electromagnetic radiation. In this work the "size" of a charged particle is induced by its…

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

The charged membrane of Dirac provides a stable electron model with finite self energy. Its total mass $m$ has been previously calculated from the Hamiltonian of the membrane. To complete the picture we evaluate it here on the basis of the…

High Energy Physics - Theory · Physics 2015-06-12 A. O. Barut , M. Pavšič

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

We take the viewpoint that the physically acceptable solutions of the Lorentz--Dirac equation for radiation back-reaction are actually determined by a second order equation of motion, the self-force being given as a function of spacetime…

Mathematical Physics · Physics 2017-12-05 Tamás Matolcsi , Tamás Fülöp , Mihály Weiner

A relativistic formulation of reaction theory for nuclei with a dynamics given by a unitary representations of the Poincar\'e group is developed. Relativistic dynamics is introduced by starting from a relativistic theory of free particles…

Nuclear Theory · Physics 2015-06-19 W. N. Polyzou , Ch. Elster

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

We argue that the well-known problem of the instabilities associated with the self-forces (radiation reaction forces) in classical electrodynamics are possibly stabilized by the introduction of gravitational forces via general relativity.

General Relativity and Quantum Cosmology · Physics 2009-11-13 Carlos Kozameh , Ezra T. Newman , Raul Ortega , Gilberto Silva-Ortigoza

We derive exact expressions for the scalar and electromagnetic self-forces and self-torques acting on arbitrary static extended bodies in arbitrary static spacetimes with any number of dimensions. Non-perturbatively, our results are…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Abraham I. Harte , Éanna É. Flanagan , Peter Taylor

From the expression for the electromagnetic field in the neighborhood of a point charge we determine the rate of electromagnetic momentum flow, calculated using the Maxwell stress tensor, across a surface surrounding the charge. From that…

Classical Physics · Physics 2017-04-20 Ashok K. Singal

According to the atomic principle an elementary particle has no excited states and under any interaction, if it is not annihilated, its internal structure cannot be modified. The intrinsic properties are the mass $m$ and the absolute value…

Classical Physics · Physics 2026-03-04 Martin Rivas

We study radiation reaction in a Lorentz violating electrodynamics [1]. We explore the possible modification whatsoever present in the radiation reaction force experienced by an accelerating charge in the modified Maxwell theory. However it…

Classical Physics · Physics 2017-08-01 Veera Reddy Vippala , Sashideep Gutti , Asrarul Haque

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

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

The Abrahamn Lorentz radiation reaction force term, with da/dt, derived in text books is shown to be incomplete. We show that, with the addition of a term, the classical radiation reaction force can be generalized to the relativistic force…

Classical Physics · Physics 2014-01-09 H. Fearn , J. Bengtsson

A charged particle subject to strong external forces will accelerate, and so radiate energy, inducing a self-force. This phenomenon remains contentious, but advances in laser technology mean we will soon encounter regimes where a more…

Classical Physics · Physics 2021-11-01 Adam Noble , David A. Burton , Lauren Docherty , Dino A. Jaroszynski

An unsolved problem of classical mechanics and classical electrodynamics is the search of the exact relativistic equations of motion for a classical charged point-particle subject to the force produced by the action of its EM self-field.…

Classical Physics · Physics 2009-11-13 M. Tessarotto , M. Dorigo , C. Cremaschini , P. Nicolini , A. Beklemishev

Classical radiation power from an accelerated massive charge diverges in the zero-mass limit, while some general arguments suggest that strictly massless charge does not not radiate at all. On the other hand, the regularized classical…

High Energy Physics - Theory · Physics 2015-05-27 D. V. Gal'tsov