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We show that the Lorentz-Dirac equation is not an unavoidable consequence of energy-momentum conservation for a point charge. What follows solely from conservation laws is a less restrictive equation already obtained by Honig and Szamosi.…

Classical Physics · Physics 2017-11-21 J. M. Aguirregabiria , J. Llosa , A. Molina

The Abraham-Lorentz-Dirac equation for a point electron, while suffering from runaway solutions and an acausal response to external forces, is compatible with the optical theorem. We show that a theory of radiative reaction that allows for…

Quantum Physics · Physics 2015-05-28 F. Intravaia , R. Behunin , P. W. Milonni , G. W. Ford , R. F. O'Connell

A detailed study is made of the space-time transformation properties of intercharge forces and the associated electric and magnetic force fields, both in classical electrodynamics and in a recently developed relativistic classical…

General Physics · Physics 2009-09-01 J. H. Field

We point out that current textbooks of modern physics are a century out-of-date in their treatment of blackbody radiation within classical physics. Relativistic classical electrodynamics including classical electromagnetic zero-point…

Classical Physics · Physics 2018-06-22 Timothy H. Boyer

LaTeX transcription (2025) of a 1989 honours thesis (University of Adelaide) on point charges in classical electrodynamics and the Lorentz-Dirac radiation-reaction equation. The thesis reviews the retarded field of an arbitrarily moving…

Classical Physics · Physics 2025-12-23 Jonathan Baxter

We consider a class of electromagnetic fields that contains crossed fields combined with longitudinal electric and magnetic fields. We study the motion of a classical particle (solutions of the Lorentz equations) in such fields. Then, we…

Quantum Physics · Physics 2009-11-13 V. G. Bagrov , M. C. Baldiotti , D. M. Gitman

We argue that the definition of the thermodynamic work done on a charged particle by a time-dependent electromagnetic field is an open problem, because the particle's Hamiltonian is not gauge-invariant. The solution of this problem demands…

Statistical Mechanics · Physics 2016-06-29 A. E. Allahverdyan , S. G. Babajanyan

The classical dynamics of particles with (non-)abelian charges and spin moving on curved manifolds is established in the Poisson-Hamilton framework. Equations of motion are derived for the minimal quadratic Hamiltonian and some extensions…

High Energy Physics - Theory · Physics 2025-04-15 Jan W. van Holten

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

We study the dynamics of an infinite regular lattice of classical charged oscillators. Each individual oscillator is described as a point particle subject to a harmonic restoring potential, to the retarded electromagnetic field generated by…

Optics · Physics 2010-05-12 M. Marino , A. Carati , L. Galgani

Exact solutions are presented of the Dirac equation of a charged particle moving in a classical monochromatic electromagnetic plane wave in a medium of index of refraction n < 1. The found solutions are expressed in terms of new complex…

Quantum Physics · Physics 2013-08-01 Sandor Varro

The general classical equation of spin motion is rigorously derived for a particle with electric and magnetic charges and dipole moments in electromagnetic fields. The equation describing the spin motion relative to the momentum direction…

High Energy Physics - Phenomenology · Physics 2024-09-25 Alexander J. Silenko

A detailed canonical treatment of a new action for a nonrelativistic particle coupled to background gravity, recently given by us, is performed both in the Lagrangian and Hamiltonian formulations. The equation of motion is shown to satisfy…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Rabin Banerjee , Pradip Mukherjee

Lie-Poisson electrodynamics describes the semi-classical limit of non-commutative $U(1)$ gauge theory, characterized by Lie-algebra-type non-commutativity. We focus on the mechanics of a charged point-like particle moving in a given gauge…

High Energy Physics - Theory · Physics 2024-12-16 B. S. Basilio , V. G. Kupriyanov , M. A. Kurkov

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

We consider a charged particle driven by a time-dependent flux threading a quantum ring. The dynamics of the charged particle is investigated using classical treatment, Fourier expansion technique, time-evolution method, and…

Mesoscale and Nanoscale Physics · Physics 2008-07-29 Pi-Gang Luan , Chi-Shung Tang

The existence of charged elementary 'point particles' still is a basically unsolved puzzle in theoretical physics. The present work takes a fresh look at the problem by including gravity---without resorting to string theory. Using…

General Physics · Physics 2018-09-07 H. Dekker

For the rigid, nonrotating motion of an extended charge in an arbitrary electromagnetic field, an equation of motion is derived by Lorentz-invariantly calculating the 4-Lorentz force = external 4-force + 4-self-force, acting upon the…

Mathematical Physics · Physics 2007-05-23 Helmut Stoeckel

The classical electrodynamic system of field and a single point-like source is considered in even-dimensional space-time. The problem of self-interaction is discussed. It is manifestly shown that all singular terms appearing in these…

High Energy Physics - Theory · Physics 2008-11-26 D. Galakhov

Attempts at an electromagnetic explanation of the inertial mass of charged particles have recently been revived within the framework of Stochastic Electrodynamics, characterized by the adoption of a classical version of the electromagnetic…

General Physics · Physics 2007-05-23 Michael Ibison