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This paper is devoted to presenting a rigorous mathematical derivation for the classical phenomenon in Maxwell's theory that a charged particle moves along a straight line in a constant electromagnetic field if the initial velocity is…

Analysis of PDEs · Mathematics 2025-04-01 Shuang Miao , Shiwu Yang , Pin Yu

A Hamiltonian formulation for the classical problem of electromagnetic interaction of two charged relativistic particles is found.

High Energy Physics - Theory · Physics 2008-11-26 I. N. Nikitin

We consider a generalization of the classical nonrelativistic St\"{o}rmer problem, describing the motion of charged particles in a purely magnetic dipole field, by taking into account the effects of the dissipation, assumed to be of…

High Energy Astrophysical Phenomena · Physics 2026-04-28 Tiberiu Harko , Gabriela Raluca Mocanu

We discuss radiation reaction effects on charges propagating in ultra-intense laser fields. Our analysis is based on an analytic solution of the Landau-Lifshitz equation. We suggest to measure radiation reaction in terms of a symmetry…

Classical Physics · Physics 2013-05-29 C. Harvey , T. Heinzl , M. Marklund

A recently introduced method utilizing dimensional continuation is employed to compute the energy loss rate for a non-relativistic particle moving through a highly ionized plasma. No restriction is made on the charge, mass, or speed of this…

Plasma Physics · Physics 2009-11-11 Lowell S. Brown , Dean L. Preston , Robert L. Singleton

We show that it is possible to obtain self-consistent and physically acceptable relativistic classical equations of motion for a point-like spin-half particle possessing an electric charge and a magnetic dipole moment, directly from a…

High Energy Physics - Phenomenology · Physics 2015-06-25 John P. Costella , Bruce H. J. McKellar

Self-consistent calculations of the energy-loss spectra of charged particles moving near a plane-bounded free electron gas are reported. Energy-loss probabilities are obtained, within linear-response theory, from the knowledge of the…

Materials Science · Physics 2009-11-07 A. Garcia-Lekue , J. M. Pitarke

We investigate the motion of a wave packet of a charged scalar particle linearly accelerated by a static potential in quantum electrodynamics. We calculate the expectation value of the position of the charged particle after the acceleration…

Quantum Physics · Physics 2008-11-26 Atsushi Higuchi , Giles D. R. Martin

A many-body wave function is approximated by a product of two functions: the wave function $\phi$ depending on the particle coordinates and the function $\chi$ depending only on the value of interparticle interaction potential. For the…

Quantum Physics · Physics 2008-09-10 V. M. Tapilin

We consider a self-action problem for an electric charge arbitrarily moving in flat spacetime of three dimensions. Its electromagnetic field satisfies the Maxwell equations in Minkowski space of three dimensions. In this space…

Mathematical Physics · Physics 2012-07-24 Yurij Yaremko

The energy-impulse flow of electromagnetic field, produced by the arbitrary moving charged particle, through the sphere of large radius is calculated. The result formulae are used in problem of radiation produced by hyperbolically moving…

Optics · Physics 2013-01-21 V. V. Lidsky

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

Particles moving in current sheets under extreme conditions, such as those in the vicinity of pulsars or those predicted on upcoming multipetawatt laser facilities, may be subject to significant radiation losses. We present an analysis of…

Plasma Physics · Physics 2021-12-22 A. Muraviev , A. Bashinov , E. Efimenko , A. Gonoskov , I. Meyerov , A. Sergeev

Previous studies from the astrophysics and laser physics communities have identified an interesting phenomenon wherein ultrarelativistic charged particles experiencing strong radiation reaction tend to move along special directions fixed by…

High Energy Astrophysical Phenomena · Physics 2023-09-19 Yangyang Cai , Samuel E. Gralla , Vasileios Paschalidis

There are known problems of Lorentz-Dirac equation for moving with acceleration charged particle in classical electrodynamics. The model of extended in one dimension particle is proposed and shown that electromagnetic self-interaction can…

High Energy Physics - Theory · Physics 2007-05-23 Alexander A. Vlasov

On the basis of the Lorentz equations of motion, the orbit of a charge driven by a generic E.M. field with planar symmetry is formulated and analyzed within the framework of a Lorentzian geometry with a curvature whose order of magnitude is…

Mathematical Physics · Physics 2012-02-28 Kiam Heong Kwa

We report the exact fundamental solution for Kramers equation associated to a brownian gas of charged particles, under the influence of homogeneous (spatially uniform) otherwise arbitrary, external mechanical, electrical and magnetic…

Other Condensed Matter · Physics 2009-11-10 Tania P. Simoes , Roberto E. Lagos

We discuss the leading order correction to the equation of motion of a particle with spin on an arbitrary spacetime. A particle traveling in a curved spacetime is known to trace a geodesic of the background spacetime if the mass of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasushi Mino , Misao Sasaki , Takahiro Tanaka

We study the motion of a charged particle with magnetic moment in external electromagnetic fields utilizing covariant unification of Gilbertian and Amperian descriptions of particle magnetic dipole moment. Considering the case of a current…

Classical Physics · Physics 2021-06-04 Martin Formanek , Andrew Steinmetz , Johann Rafelski

The motion of charged particles under the Lorentz force in the magnetosphere of neutron stars, represented by a dipole field in the Schwarzschild spacetime, can be determined by an effective potential, whose local extrema govern circular…

High Energy Astrophysical Phenomena · Physics 2024-12-09 Zdeněk Stuchlík , Jaroslav Vrba , Martin Kološ , Arman Tursunov
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