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We analyze the change in position (the position shift) of the wave packet of a charged scalar particle due to radiation reaction in the $\hbar \to 0$ limit of quantum electrodynamics. In particular, we re-express the formula previously…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Atsushi Higuchi , Giles D. R. Martin

An effective model for describing the relativistic quantum dynamics of a radiating electron is developed via a relativistic generalization of the Lindblad master equation. By incorporating both radiation reaction and vacuum fluctuations…

Quantum Physics · Physics 2026-01-01 Andre G. Campos , Karen Z. Hatsagortsyan , Christoph H. Keitel

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 dynamics of a radiating charge is one of the oldest unsettled problems in classical physics. The standard Lorentz-Abraham-Dirac (LAD) equation of motion is known to suffer from several pathologies and ambiguities. This paper briefly…

High Energy Physics - Theory · Physics 2016-11-22 Sofiane Faci , José A. Helayel-Neto , V. H. Satheeshkumar

The collision of a finite electromagnetic plane wave with an electron subject to the Landau-Lifshitz radiation reaction force is studied. A locally monochromatic approximation is derived and compared to numerical evaluation of the exact…

High Energy Physics - Phenomenology · Physics 2023-05-31 B. King

Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-field (or radiation reaction) of an accelerated point-charge traveling in free space. We obtain…

Classical Physics · Physics 2018-09-18 Masud Mansuripur

It is well known that supermassive black holes in the centers of galaxies are capable of accelerating charged particles to very high energies. In many cases, the particle acceleration by black holes occurs electromagnetically through an…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Bakhtinur Juraev , Zdeněk Stuchlík , Arman Tursunov , Martin Kološ

The usual radiation self-force of a point charge is obtained in a mathematically exact way and it is pointed out to that this does not call forth that the spacetime motion of a point charge obeys the Lorentz--Abraham--Dirac equation.

Classical Physics · Physics 2023-03-16 T. Matolcsi

A critical look at the Landau-Lifshitz equation, which has been recently advocated as an "exact" relativistic classical equation for the motion of a point charge with radiation reaction, demonstrates that it generally does not conserve…

Classical Physics · Physics 2007-05-23 W. E. Baylis , J. Huschilt

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

We derive a Dirac-like equation, the asymmetric Dirac equation, where particles and antiparticles sharing the same wave number have different energies and momenta. We show that this equation is Lorentz covariant under proper Lorentz…

High Energy Physics - Phenomenology · Physics 2023-11-30 Gustavo Rigolin

A self-action problem for a point-like charged particle arbitrarily moving in flat space-time of six dimensions is considered. A consistent regularization procedure is proposed which relies on energy-momentum and angular momentum balance…

Mathematical Physics · Physics 2009-07-20 Yurij Yaremko

A notorious difficulty in the covariant dynamics of classical charged particles subject to non-local electromagnetic (EM) interactions arising in the EM radiation-reaction (RR) phenomena is due to the definition of the related non-local…

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

The problem of the electromagnetic radiation of an accelerated charged particle is one of the most controversial issues in Physics since the beginning of the last century, representing one of the most popular unsolved problems of the Modern…

We apply the open systems concept and the influence functional formalism introduced in Paper I to establish a stochastic theory of relativistic moving spinless particles in a quantum scalar field. The stochastic regime resting between the…

Quantum Physics · Physics 2014-11-18 Philip R. Johnson , B. L. Hu

After a brief review of the modified (by transition forces) causal Lorentz-Abraham (LA) classical equation of motion for an extended charged sphere and its limit to the mass-renormalized modified causal Lorentz-Abraham-Dirac (LAD) equation…

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

The problem of self forces and radiation reaction is solved by conservation of energy methods. The longstanding problem of constant acceleration is solved, and it is shown that the self force does indeed affect the particle's motion, as…

Classical Physics · Physics 2009-07-22 Richard T Hammond

The problem of determining the radiation reaction force experienced by a scalar charge moving in flat spacetime is investigated. A consistent renormalization procedure is used, which exploits the Poincar\'e invariance of the theory.…

Classical Physics · Physics 2009-07-20 Yurij Yaremko

Current classical theory of radiation reaction has several deficiencies such as "runaway solutions" and violation of causality. The Landau-Lifshitz approximation to the exact equation introduced by Lorentz, Abraham and Dirac is widely used,…

High Energy Physics - Phenomenology · Physics 2014-08-20 Yevgen Kravets

Can the wavelength of a classical electromagnetic field be arbitrarily small, or its electric field strength be arbitrarily large? If we require that the radiation-reaction force on a charged particle in response to an applied field be…

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