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Nonlinear relativistic ionization phenomena induced by a strong linearly polarized laser field are considered. The starting point is the classical relativistic action for a free electron moving in the electromagnetic field created by a…

Atomic Physics · Physics 2017-08-23 J. Ortner , V. M. Rylyuk

We derive the Abraham-Lorentz-Dirac (ALD) equation in the framework of the electrodynamic theory associated with Stueckelberg manifestly covariant canonical mechanics. In this framework, a particle worldline is traced out through the…

General Physics · Physics 2016-04-22 Martin Land

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

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 radiation-reaction problem of standard Lorentz electrodynamics with point charges is pathological, standing in contrast to Bopp--Land\'e--Thomas--Podolsky (BLTP) electrodynamics where it is in fact well-defined and calculable, as…

Classical Physics · Physics 2026-02-26 Ryan J. McGuigan , Michael K. -H. Kiessling

Relativistically covariant form of equation of motion for arbitrarily shaped dust particle (neutral in charge) under the action of electromagnetic radiation is derived -- emission, scattering and absorption of radiation is considered. The…

Astrophysics · Physics 2007-05-23 Jozef Klacka

The effect of radiation polarization attended with the motion of spinning charge in the magnetic field could be viewed through the classical theory of self-interaction. The quantum expression for the polarization time follows from the…

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

The radiation arising under uniform motion of non-relativistic charged particle by (or through) perfectly conducting sphere is considered. The rigorous results are obtained using the method of images known from electrostatics.

Accelerator Physics · Physics 2017-07-11 N. F. Shul'ga , V. V. Syshchenko , E. A. Larikova

The power radiated by a moving charge is given by Larmor's formula which can be derived by integrating the Li\'enard-Wiechert potential over the whole past history of the charge. However, extracting the same result from the…

Classical Physics · Physics 2016-10-11 Sofiane Faci , José A. Helayël-Neto

These notes provide two derivations of the Lorentz-Dirac equation. The first is patterned after Landau and Lifshitz and is based on the observation that the half-retarded minus half-advanced potential is entirely responsible for the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eric Poisson

Up until now, a consistent causal theory of point charged particles (for example electrons) interacting with electromagnetic field is not known. The well-known problem is that the standard Lorentz force alone (in the case of point…

Classical Physics · Physics 2022-03-08 Pawel Zin

In high-intensity laser-plasma interactions, particles can lose a substantial fraction of their energy by emitting radiation. Using particle-in-cell simulations, we study the impact of radiation reaction on the dynamics of an underdense…

Plasma Physics · Physics 2025-10-22 Caleb Redshaw , Matthew R. Edwards

In classical electrodynamics, an accelerating charged body emits radiation and experiences a corresponding radiation-reaction force, or self force. We extend to higher order in the total charge a previous rigorous derivation of the…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Jordan Moxon , Éanna Flanagan

The Radiative Vlasov-Maxwell equations model the radiative kinetics of collisionless relativistic plasma. In them the Lorentz force is modified by the addition of radiation reaction forces. The radiation forces produce damping of particle…

Analysis of PDEs · Mathematics 2025-07-15 Peter Constantin , Hezekiah Grayer

In this work, we analyze a Lagrangian formalism recently proposed to approach the issue of the Abraham-Lorentz force. Instead of involving only position and velocity, as usual in Classical Mechanics, this Lagrangian involves the…

High Energy Physics - Theory · Physics 2015-04-21 Reinaldo de Melo e Souza , J. A. Helayël Neto

A numerical solution is presented for the non-linear evolution equation that governs the dynamics of high parton density QCD. It is shown that thesolution falls off as $e^{-b/R}$ at large values of the impact parameter $b$. The power-like…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. ~Gotsman , M. ~Kozlov , E. ~Levin , U. Maor , E. ~Naftali

Energy-momentum and angular momentum carried by electromagnetic field of two point-like charged particles arbitrarily moving in flat spacetime are presented. Apart from usual contributions to the Noether quantities produced separately by…

Classical Physics · Physics 2010-01-07 Yurij Yaremko

We study quantum radiation generated by an accelerated motion of a small body with a refractive index n which differes slightly from 1. To simplify calculations we consider a model with a scalar massless field. We use the perturbation…

General Relativity and Quantum Cosmology · Physics 2011-07-19 V. Frolov , D. Singh

Radiation reaction, the force experienced by an accelerated charge due to radiation emission, has long been the subject of extensive theoretical and experimental research. Experimental verification of a quantum, strong-field description of…

Strongly magnetized and fast rotating neutron stars are known to be efficient particle accelerators within their magnetosphere and wind. They are suspected to accelerate leptons, protons and maybe ions to extreme relativistic regimes where…

High Energy Astrophysical Phenomena · Physics 2021-03-17 Jérôme Pétri