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In 1892 H.A. Lorentz started the search for a classical equation of motion for pointlike charged particles that takes into account the radiation reaction force. This search culminated in the Lorentz-Abraham-Dirac equation of motion, which…

经典物理 · 物理学 2007-05-23 Marijan Ribaric , Luka Sustersic

A theoretical description of vortex electrons interacting with electric and magnetic fields is presented, based on Lorentz transformations. The general dynamical equations of motion of a twisted electron with intrinsic orbital angular…

综合物理 · 物理学 2018-01-04 Alexander J. Silenko , Pengming Zhang , Liping Zou

A fundamental issue in classical electrodynamics is represented by the search of the exact equation of motion for a classical charged particle under the action of its electromagnetic (EM) self-field - the so-called radiation-reaction…

经典物理 · 物理学 2008-09-22 M. Tessarotto , C. Cremaschini , M. Dorigo

A derivation is presented of the quantummechanical wave equations based upon the Equity Principle of Einstein's General Relativity Theory. This is believed to be more generic than the common derivations based upon Einstein's energy…

综合物理 · 物理学 2007-07-19 Engel Roza

We study the long-time behavior of the 3-dimensional repulsive nonlinear Hartree equation with an external attractive Coulomb potential $-Z/|x|$, which is a nonlinear model for the quantum dynamics of an atom. We show that, after a…

偏微分方程分析 · 数学 2016-01-20 Enno Lenzmann , Mathieu Lewin

The radiative acceleration of particles and the electrostatic potential fields that arise in low density plasmas hit by radiation produced by a transient, compact source are investigated. We calculate the dynamical evolution and asymptotic…

天体物理学 · 物理学 2009-11-07 L. Zampieri , R. Turolla , L. Foschini , A. Treves

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…

The claim by Rohrlich that the Abraham-Lorentz-Dirac equation is not the correct equation for a classical point charge is shown to be incorrect and it is pointed out that the equation which he proposes is the equation {\underline{derived}}…

量子物理 · 物理学 2009-11-10 R. F. O'Connell

Solution of the Dirac equation predicts that when an electron with non-zero orbital angular momentum propagates in a cylindrically symmetric potential, its spin and orbital degrees of freedom interact, causing the electron's phase velocity…

量子物理 · 物理学 2009-09-23 C. C. Leary , D. Reeb , M. G. Raymer

The Dirac equation for an electron in two spatial dimensions in the Coulomb and homogeneous magnetic fields is an example of the so-called quasi-exactly solvable models. The solvable parts of its spectrum was previously solved from the…

高能物理 - 理论 · 物理学 2009-11-07 Chun-Ming Chiang , Choon-Lin Ho

It is demonstrated how all the mechanical equations of classical electrodynamics (CEM) may be derived from only Coulomb's inverse square force law, special relativity and Hamilton's Principle. The instantaneous nature of the Coulomb force…

经典物理 · 物理学 2007-05-23 J. H. Field

A model for the dynamics of a classical point charged particle interacting with higher order jet fields is introduced. In this model, the dynamics of the charged particle is described by an implicit ordinary second order differential…

数学物理 · 物理学 2020-03-10 Ricardo Gallego Torromé

In the first quarter of the 20th century, physicists were not aware of the existence of classical electromagnetic zero-point radiation nor of the importance of special relativity. Inclusion of these aspects allows classical electron theory…

经典物理 · 物理学 2022-01-11 Timothy H. Boyer

We provide a quantum field theoretical derivation of the Abraham-Lorentz-Dirac (ALD) equation, describing the motion of an electric point charge sourcing an electromagnetic field, which back-reacts on the charge as a self-force, and the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Chad R. Galley , B. L. Hu , Shih-Yuin Lin

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…

数学物理 · 物理学 2017-12-05 Tamás Matolcsi , Tamás Fülöp , Mihály Weiner

The fact that electromagnetic effects propagate at the speed of light suggests how the Lorenz-gauge scalar and vector potentials of a uniformly moving point charge must be modified when the charge was initially at rest and then set suddenly…

经典物理 · 物理学 2024-04-23 V. Hnizdo , G. Vaman

In the first sections of this article, we discuss two variations on Maxwell's equations that have been introduced in earlier work--a class of nonlinear Maxwell theories with well-defined Galilean limits (and correspondingly generalized…

经典物理 · 物理学 2007-05-23 Giorgio A. Ascoli , Gerald A. Goldin

Electromagnetic fields of an accelerated charge are derived from the first principles using Coulomb's law and the relativistic transformations. The electric and magnetic fields are derived first for an instantaneous rest frame of the…

经典物理 · 物理学 2013-06-11 Ashok K. Singal

Although electrons (fermions) and photons(bosons) produce the same interference patterns in the two-slit experiments, the description of these patterns is markedly different. Photons are spin one, relativistic and massless while electrons…

综合物理 · 物理学 2023-06-14 Arkady L. Kholodenko

The relativistic theory for the electric dipole moment (EDM) of paramagnetic atoms arising from the electric dipole moment of the electron is presented. A novel approach using the relativistic coupled-cluster method that incorporates the…

化学物理 · 物理学 2009-05-01 Debashis Mukherjee , B. K. Sahoo , H. S. Nataraj , B. P. Das