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In the presence of Lorentz violation, the motion of a charged particle in a magnetic field is distorted. By measuring the eccentricities of particles' elliptical orbits and studying how those eccentricities vary with the absolute…

High Energy Physics - Phenomenology · Physics 2011-10-17 Brett Altschul

In a brief but brilliant derivation that can be found in Maxwell's Treatise and traced back to his 1861 and 1865 papers, he derives the force on a moving electric charge subject to electromagnetic fields from his mathematical expression of…

History and Philosophy of Physics · Physics 2020-06-01 Arthur D. Yaghjian

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…

Classical Physics · Physics 2007-05-23 Giorgio A. Ascoli , Gerald A. Goldin

We present equations of motion for charged particles using balanced equations, and without introducing explicitly divergent quantities. This derivation contains as particular cases some well known equations of motion, as the Lorentz-Dirac…

General Relativity and Quantum Cosmology · Physics 2012-03-08 Emanuel Gallo , Osvaldo M. Moreschi

In this article, it is pointed out that Faraday induction can be treated from an untraditional, particle-based point of view. The electromagnetic fields of Faraday induction can be calculated explicitly from approximate point-charge fields…

Classical Physics · Physics 2015-04-07 Timothy H. Boyer

The Schr\"odinger theory of electrons in an external electromagnetic field can be described from the perspective of the individual electron via the `Quantal Newtonian' laws (or differential virial theorems). These laws are in terms of…

Quantum Physics · Physics 2016-11-23 Viraht Sahni , Xiao-Yin Pan

From non-linear modification of Maxwell-Einstein theory, considered in (physics/9801031), follows modified Coulomb law for interaction between charged objects. Namely, if $(m, e)$ and $(m', e')$ are masses and charges of two objects, then…

General Physics · Physics 2007-05-23 Dmitriy Palatnik

The effect of the electrodynamic forces on a charged particle in a propagating plane electromagnetic wave is investigated. First it is pointed out that for constant fields fulfilling the radiation condition there will be an acceleration in…

Classical Physics · Physics 2007-05-23 Hanno Essen

As a relativistic quantum mechanical effect, it is shown that the electric field exerting a transverse force on an electron spin 1/2 only if the electron is moving and the spin is polarized along the electric field. The spin force, analogue…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shun-Qing Shen

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

The radiation reaction problem for an electric charge moving in flat space-time of three dimensions is discussed. The divergences stemming from the pointness of the particle are studied. A consistent regularization procedure is proposed,…

Classical Physics · Physics 2009-07-20 Yurij Yaremko

The Lorentz force can be obtained from Maxwell's equations in the Coulomb gauge provided that we assume that the electric portion of the force acted on a charge is known, and the magnetic component is perpendicular to the velocity of motion…

Physics Education · Physics 2007-05-23 Valery P. Dmitriyev

The problem of the classical non-relativistic electromagnetically kicked oscillator can be cast into the form of an iterative map on phase space. The original work of Zaslovskii {\it et al} showed that the resulting evolution contains a…

High Energy Physics - Theory · Physics 2007-05-23 L. P. Horwitz

A field-interaction scheme is introduced for describing the Aharonov-Bohm effect, fully consistent with the principle of relativity. Our theory is based on the fact that local field interactions are present even when a particle moves only…

Quantum Physics · Physics 2018-08-21 Kicheon Kang

In this work, we have discussed the Maxwell's electrodynamics in non-linear forms in FRW universe. The energy density and pressure for non-linear electrodynamics have been written in the electro-magnetic universe. The Einstein's field…

General Physics · Physics 2012-08-29 Tanwi Bandyopadhyay , Ujjal Debnath

We compare the behavior of a charged particle in a gravitational field and empty space. We resolve the apparent conflict between the Lorentz-Dirac equation and Larmor's formula of radiation by noting that the former describes an electron…

General Relativity and Quantum Cosmology · Physics 2014-04-11 Viktor T. Toth

The classic Abraham-Lorentz-Dirac self-force of point-like particles is generalized within an effective field theory setup to include linear spin and susceptibility effects described perturbatively, in that setup, by effective couplings in…

High Energy Physics - Theory · Physics 2024-06-06 Gustav Uhre Jakobsen

The structure of classical electrodynamics based on the variational principle together with causality and space-time homogeneity is analyzed. It is proved that in this case the 4-potentials are defined uniquely. On the other hand, the…

General Physics · Physics 2007-05-23 E. Comay

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

It is generally accepted that the dynamics of relativistic particles in the lab frame can be described by taking into account the relativistic dependence of the particles momenta on the velocity, with no reference to Lorentz…

Accelerator Physics · Physics 2017-04-07 Gianluca Geloni , Vitali Kocharyan , Evgeni Saldin