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A process-theoretic approach to electrodynamics based on persistent Kac-type stochastic processes is developed. Finite-velocity stochastic propagation is taken as primary, while relativistic wave equations arise as emergent descriptions…

Quantum Physics · Physics 2026-05-26 Partha Ghose

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

The motion of a charged particle moving on a flat surface is studied through the constants of motion associated to the system, given the magnetic gauge. The usual Landau' solution and the non separable solution for the Landau's gauge are…

Quantum Physics · Physics 2025-01-28 Gustavo V. López , Jorge A. Lizarraga

A new model of nonlinear electrodynamics with two parameters is investigated. We also consider a model with one dimensional parameter. It was shown that the electric field of a point-like charge is not singular at the origin and there is…

General Physics · Physics 2015-04-06 S. I. Kruglov

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed,…

Mathematical Physics · Physics 2010-02-17 D. M. Gitman , V. G. Kupriyanov

We wish that this reply will initiate further examination on the currently-accepted formulation of electromagnetic radiation from an accelerated point charge. Further examination will at least clarify some ambiguities and misunderstanding…

Classical Physics · Physics 2011-12-13 Young-Sea Huang

The electromagnetic theory is considered in the framework of the generally covariant approach, that is applied to the analysis of electromagnetism in noninertial coordinate and frame systems. The special-relat\-ivistic formulation of…

Classical Physics · Physics 2021-10-14 Yuri N. Obukhov

The classical equation of motion of a charged point particle, including its radiation reaction, is described by the Lorentz-Dirac equation. We found a new class of solutions that describe tunneling (in a completely classical context!). For…

High Energy Physics - Theory · Physics 2007-05-23 Frederik Denef , Joris Raeymaekers , Urban M. Studer , Walter Troost

We present a dynamical framework for modeling the motion of point-like charged particles, with or without mass, in general external electromagnetic fields. A key feature of this formulation is the treatment of time coordinate as a dynamical…

Classical Physics · Physics 2026-01-07 Zui Oporto , Gonzalo Marcelo Ramírez-Ávila

The acceleration of charged particles at astrophysical collisionless shock waves is one of the best studied processes for the energization of particles to ultrarelativistic energies, required by multifrequency observations in a variety of…

Astrophysics · Physics 2009-11-10 Pasquale Blasi

Single particle dynamics in electron microscopes, ion or electron lithographic instruments, particle accelerators, and particle spectrographs is described by weakly nonlinear ordinary differential equations. Therefore, the linear part of…

Accelerator Physics · Physics 2007-05-23 Georg H. Hoffstaetter

The state of a classical point-particle system may often be specified by giving the position and momentum for each constituent particle. For non-pointlike particles, the center-of-mass position may be augmented by an additional coordinate…

Statistical Mechanics · Physics 2023-08-02 Rahil N. Valani , David M. Paganin

Up until now, a consistent causal theory of point charged particles (for example electrons) interacting with electromagnetic field is not known. The well-known problem is that the standard Lorentz force alone (in the case of point…

Classical Physics · Physics 2022-03-08 Pawel Zin

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

In the complete system of equations of evolution of the classical system of charges and the electromagnetic field generated by them, the field variables are excluded. An exact closed relativistic non-Hamiltonian system of nonlocal kinetic…

Statistical Mechanics · Physics 2020-05-19 A. Yu. Zakharov

The concept of elementary particle rests on the idea that it is a physical system with no excited states, so that all possible kinematical states of the particle are just kinematical modifications of any one of them. The way of describing…

General Physics · Physics 2007-05-23 Martin Rivas

A model for the motion of a charged particle in the vacuum is presented which, although purely classical in concept, yields Schrodinger's equation as a solution. It suggests that the origins of the peculiar and nonclassical features of…

Quantum Physics · Physics 2007-05-23 Mark P. Davidson

The purpose of the dynamics of moving systems is to search for the mathematical model that describes the link between the resultant applied force, that is the cause, and the speed of system that is the effect. This mathematical link…

General Physics · Physics 2010-01-15 Daniele Sasso

A core level of basic information for physics is identified, based on an analysis of the characteristics of the parameters space, time, mass and charge. At this level, it is found that certain symmetries operate, which can be used to…

Classical Physics · Physics 2007-05-23 Peter Rowlands

We show that the nonlinear Born-Infeld field equations supplemented by the "dynamical condition" (certain boundary condition for the field along the particle's trajectory) define perfectly deterministic theory, i.e. particle's trajectory is…

High Energy Physics - Theory · Physics 2009-10-30 Dariusz Chruscinski