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The Lorentz law of force is the fifth pillar of classical electrodynamics, the other four being Maxwell's macroscopic equations. The Lorentz law is the universal expression of the force exerted by electromagnetic fields on a volume…

General Physics · Physics 2012-05-10 Masud Mansuripur

We give a quantum field theoretical derivation of the scalar Abraham-Lorentz-Dirac (ALD) equation and the self-force for a scalar charged particle interacting with a quantum scalar field in curved spacetime. We regularize the causal Green's…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Chad R. Galley , B. L. Hu

We consider an Hamiltonian with ultraviolet and infrared cutoffs, describing the interaction of relativistic electrons and positrons in the Coulomb potential with photons in Coulomb gauge. The interaction includes both interaction of the…

Mathematical Physics · Physics 2007-05-23 J. -M. Barbaroux , M. Dimassi , J. -C. Guillot

We discuss the origin of the Schott energy in the Abraham-Lorentz version of electrodynamic radiation theory and how it can be used to explain some apparent paradoxes. We also derive the generalization of this quantity for the…

Optics · Physics 2015-06-26 Jose A. Heras , R. F. O'Connell

The self-force of classical electrodynamics on a charged "rigid" body of radius R is evaluated analytically for the body undergoing a slow (i.e., with a speed v<<c), slight (i.e., small compared to R), and temporary displacement from an…

Mathematical Physics · Physics 2009-10-31 V. Hnizdo

The Lorentz force law of classical electrodynamics requires the introduction of hidden energy and hidden momentum in situations where an electric field acts on a magnetic material. In contrast, the Einstein-Laub formulation does not invoke…

Classical Physics · Physics 2014-09-23 Masud Mansuripur

We consider a simple nonlinear (quartic in the fields) gauge-invariant modification of classical electrodynamics, which possesses a regularizing ability sufficient to make the field energy of a point charge finite. The model is exactly…

High Energy Physics - Theory · Physics 2013-12-03 Caio V. Costa , Dmitri M. Gitman , Anatoly E. Shabad

While he derived the equation for the radiation force, Dirac (1938) mentioned a possibility to use different choices for the 4-momentum of an emitting electron. Particularly, the 4-momentum could be non-colinear to the electron 4-velocity.…

Classical Physics · Physics 2015-05-13 Igor V. Sokolov

A simple mathematical procedure is introduced which allows redefining in an exact way divergent integrals and limits that appear in the basic equations of classical electrodynamics with point charges. In this way all divergences are at once…

Classical Physics · Physics 2015-06-26 Massimo Marino

We develop a new fluid model of a warm plasma that includes the radiative self-force on each plasma electron. Our approach is a natural generalization of established methods for generating fluid models without radiation reaction. The…

Plasma Physics · Physics 2013-10-29 D. A. Burton , A. Carr , J. Gratus , A. Noble

In the de Broglie - Bohm formulation of quantum mechanics, the electron is stationary in the ground state of the hydrogen atom, because the quantum force exactly cancels the Coulomb attraction of the electron to the proton. In this paper it…

Classical Physics · Physics 2019-01-07 David C. Lush

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

The dynamics of an electron in a strong laser field can be significantly altered by radiation reaction. This usually results in a strongly damped motion, with the electron losing a large fraction of its initial energy. Here we show that the…

Plasma Physics · Physics 2014-02-12 Matteo Tamburini , Christoph H. Keitel , Antonino Di Piazza

The Abraham-Lorentz-Dirac theory predicts vanishing radiation reaction for uniformly accelerated charges. However, since an accelerating observer should detect thermal radiation, the charge should be seen absorbing photons in the…

High Energy Physics - Theory · Physics 2021-04-21 Zoltán Tulipánt

In this paper we analyze again a transition from the classical to quantum description of bound charged particles, which involves a substantial modification of the structure of their electromagnetic (EM) fields related to the well-known fact…

Atomic Physics · Physics 2011-03-22 T. Yarman , A. L. Kholmetskii , O. V. Missevitch

The force of electromagnetic radiation on a dielectric medium may be derived by a direct application of the Lorentz law of classical electrodynamics. While the light's electric field acts upon the (induced) bound charges in the medium, its…

Optics · Physics 2014-01-29 Masud Mansuripur , Armis R. Zakharian , Jerome V. Moloney

The radiative response of the classical electron is commonly described by the Lorentz-Abraham-Dirac (LAD) equation. Dirac's derivation of this equation is based on energy and momentum conservation laws and on regularization of the field…

Classical Physics · Physics 2015-07-03 Anatoli Babin

There is actually a mistake in this paper, but it is still a nice try worth a read. It is (not quite) proved that within the framework of Special Relativity, a force exerted on a \emph{classical particle} by a field must be of the form…

Classical Physics · Physics 2007-05-23 Yoav Kleinberger

Aristotelian electrodynamics (AE) describes the regime of a plasma with a very strong electric field that is not shorted out, with charge current determined completely by pair production and the balance of Lorentz 4-force against curvature…

High Energy Astrophysical Phenomena · Physics 2015-07-22 Ted Jacobson

Maxwell's equations and the equations governing charged particle dynamics are presented for a rotating coordinate system with the global time coordinate of an observer on the rotational axis. Special care is taken in defining the relevant…

Astrophysics · Physics 2012-08-27 Paul N. Arendt,
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