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We present an analytical theory that reveals the importance of the longitudinal laser electric field in the resonant acceleration of relativistic electrons by the tightly confined laser beam. It is shown that this field always counterworks…

Plasma Physics · Physics 2019-09-04 Tianhong Wang , Vladimir Khudik , Alexey Arefiev , Gennady Shvets

Some inadequacy in the traditional description of the phenomenon of electro-magnetic field radiation created by a point charge moving along a straight line with an acceleration is found and discussed in this paper in detail. The possibility…

High Energy Physics - Theory · Physics 2016-08-15 Andrew E. Chubykalo

The Rutherford planetary model of a proton-electron atom is modified. Besides the Coulomb interaction of the point electron with the proton, its strong Coulomb interaction with the physical vacuum as well as the magnetic interaction between…

General Physics · Physics 2011-04-18 R. Fedaruk

The expressions of momentum and energy of a particle in special relativity are often derived in a quite unconvincing manner in elementary text, by resorting either to electrodynamic or quantum considerations, or via the introduction of the…

Classical Physics · Physics 2016-02-09 Luca Peliti

The electric and magnetic fields of a spatio-temporally varying electric current loop are calculated using the Jefimenko equations. The radiation and the nonradiation parts of the electromagnetic fields are derived in the framework of…

Classical Physics · Physics 2013-04-15 Markus Lazar

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 answer to the title-question is affirmative. The analysis of the geometry of continuous and differentiable curves in three-dimensional Euclidean space suggests that the point represents the location of the center of charge of the…

General Physics · Physics 2026-02-13 Martin Rivas

In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein's celebrated energy-mass relation E=mc^2 is commonly derived from that fact. By contrast, in Newtonian mechanics…

Classical Physics · Physics 2015-05-30 Anatoli Babin , Alexander Figotin

An energy-momentum carried by electromagnetic field produced by two point-like charged particles is calculated. Integration region considered in the evaluation of the bound and emitted quantities produced by all points of world lines up to…

High Energy Physics - Theory · Physics 2009-11-10 Yurij Yaremko

For the first time a method is devised for non-iterative modeling of motion of a radiating, electrified pointlike mass that has an internal structure. New, supplementary kinetic constants of accelerated charged particles are defined, that…

General Physics · Physics 2010-05-24 Marijan Ribarič , Luka Šušteršič

We discuss, in the context of classical electrodynamics with a Lorentz invariant cut-off at short distances, the self-force acting on a point charged particle. It follows that the electromagnetic mass of the point charge occurs in the…

Classical Physics · Physics 2007-05-23 Josif Frenkel , R B Santos

In this paper we investigate the link between classical electrodynamics and the mass-energy equivalence principle, in view of the conclusions reached in ref.[1]. A formula for the radius of a charged particle is derived. The formula…

General Physics · Physics 2009-07-16 Ezzat G. Bakhoum

A formulation of classical electrodynamics on an energy-momentum background of constant, non-zero curvature is given. The procedure consists of taking the formulation of standard electrodynamics in the energy-momentum representation, and…

General Physics · Physics 2020-01-01 Boris Ivetić

Electron acceleration by relativistically intense laser beam propagating along a curved surface allows to split softly the accelerated electron bunch and the laser beam. The presence of a curved surface allows to switch an adiabatic…

The energy characteristics of a relativistic charged particle in the field of a plane electromagnetic wave of a given amplitude are studied. The dependence of the particle's energy on its phase coordinate is obtained. The maximum value of…

Accelerator Physics · Physics 2025-11-11 V. A. Balakirev , I. N. Onishchenko

This paper is devoted to the analysis of the divergence of the electron self-energy in classical electrodynamics. To do so, we appeal to the theory of distributions and a method for obtaining corresponding extensions. At first sight,…

General Physics · Physics 2023-08-16 H. R. de Assis , B. F. Rizzuti

Context: Typical space plasmas contain spatially and temporally variable turbulent electromagnetic fields. Understanding the transport of energetic particles and the acceleration mechanisms for charged particles is an important goal of…

High Energy Astrophysical Phenomena · Physics 2013-06-17 R. C. Tautz , I. Lerche , F. Kruse

We revisit the classical theory of a relativistic massless charged point particle with spin and interacting with an external electromagnetic field. In particular, we give a proper definition of its kinetic energy and its total energy, the…

High Energy Physics - Theory · Physics 2017-12-27 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

We consider a classical test particle subject to electromagnetic and gravitational fields, described by a Lagrangian depending on the acceleration and on a fundamental length. We associate to the particle a moving local reference frame and…

High Energy Physics - Theory · Physics 2009-11-11 M. Toller

A charged particle which is allowed to accelerate must have relativistic behavior because it is coupled to electromagnetic radiation which propagates at the speed of light. We treat the simple steady-state situation of a charged particle…

Classical Physics · Physics 2023-08-02 Timothy H. Boyer