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We study the dynamics of N charges interacting with the Maxwell field. If their initial velocities are small compared to the velocity of light, c, then in lowest order their motion is governed by the static Coulomb Lagrangian. We…

Mathematical Physics · Physics 2009-11-07 Markus Kunze , Herbert Spohn

We study the dynamics of many charges interacting with the Maxwell field. The particles are modeled by means of non-negative distribution functions $f^+$ and $f^-$ representing two species of charged matter with positive and negative…

Mathematical Physics · Physics 2007-05-23 Sebastian Bauer

We are interested in the motion of a classical charge coupled to the Maxwell self-field and subject to a uniform external magnetic field, B. This is a physically relevant, but difficult dynamical problem, to which contributions range over…

Classical Physics · Physics 2015-05-28 Herbert Spohn

The classical electromagnetic interaction of a point charge and a magnet is discussed by first calculating the interaction of point charge with a simple model magnetic moment and then suggesting a multiparticle limit. The Darwin Lagrangian…

Classical Physics · Physics 2010-05-17 Timothy H. Boyer

A model calculation using the Darwin Lagrangian is carried out for a magnet consisting of two current-carrying charges constrained by centripetal forces to move in a circular path in the presence of the electric field from a distant…

Classical Physics · Physics 2015-08-07 Timothy H. Boyer

Though sufficient for local conservation of charge, Maxwells displacement current is not necessary. An alternative to the Ampere-Maxwell equation is exhibited and the alternatives electric and magnetic fields and scalar and vector…

Classical Physics · Physics 2014-12-01 Alan M. Wolsky

Though sufficient for local conservation of charge, we show that Maxwells displacement current is not necessary. An alternative to the Ampere Maxwell equation is exhibited and the alternative s electric and magnetic fields and scalar and…

Classical Physics · Physics 2015-06-23 Alan M. Wolsky

During the past century, there has been considerable discussion and analysis of the motion of a point charge, taking into account "self-force" effects due to the particle's own electromagnetic field. We analyze the issue of "particle…

General Relativity and Quantum Cosmology · Physics 2009-08-12 Samuel E. Gralla , Abraham I. Harte , Robert M. Wald

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

In this paper we explore some surprising consequences of the retardation effects of Maxwell's electrodynamics to a system of charged particles. The specific cases of three interacting particles are considered in the framework of classical…

Classical Physics · Physics 2007-05-23 E. G. Bessonov

Background fields of electromagnetic and gravitational type emerge in the low kinetic energy limit of any regular Lagrangian system and, in particular, in the corresponding limit of any spacetime theory in which the free motion of test…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Paolo Maraner

Suggested modification of the Einstein-Maxwell system, such that Maxwell equations become non-gauge and nonlinear. The theory is based on assumption that observable (i.e., felt by particles) metric is $ {\tilde{g}}_{ab} = g_{ab} -…

General Physics · Physics 2007-05-23 Dmitriy Palatnik

We study the relaxation of a non-equilibrium carrier distribution under the influence of the electron-electron interaction in the presence of disorder. Based on the Anderson model, our Hamiltonian is composed from a single particle part…

Disordered Systems and Neural Networks · Physics 2008-02-15 Peter Bozsoki , Imre Varga , Henning Schomerus

We consider the long-time behavior of a fast, charged particle interacting with an initially spatially homogeneous background plasma. The background is modeled by the screened Vlasov-Poisson equations, whereas the interaction potential of…

Analysis of PDEs · Mathematics 2024-08-28 Richard M. Höfer , Raphael Winter

Nonlinear Maxwell equations are written up to the third-power deviations from a constant-field background, valid within any local nonlinear electrodynamics including QED with a Euler-Heisenberg (EH) effective Lagrangian. The linear electric…

High Energy Physics - Theory · Physics 2016-07-01 T. C. Adorno , D. M. Gitman , A. E. Shabad

We derive and describe in detail a recently proposed method for obtaining Coulomb interactions as the potential of mean force between charges which are dynamically coupled to a local electromagnetic field. We focus on the Molecular Dynamics…

Statistical Mechanics · Physics 2009-11-10 Igor Pasichnyk , Burkhard Duenweg

We study the dynamics of a charged particle in the field of a slowly rotating compact star in the gravitoelectromagnetic approximation to the geodesic equation . The star is assumed to be surrounded by an ideal, highly conducting plasma…

Astrophysics · Physics 2009-11-10 Babur M. Mirza

Using the first-order approximating solutions to the Einstein-Maxwell-Klein-Gordon system of equations for a complex scalar field minimally coupled to a spherically symmetric spacetime, we study the feedback of gravity and electric field on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ciprian Dariescu , Marina-Aura Dariescu

We study a system of electrons interacting through long--range Coulomb forces on a one--dimensional lattice, by means of a variational ansatz which is the strong--coupling counterpart of the Gutzwiller wave function. Our aim is to describe…

Strongly Correlated Electrons · Physics 2009-11-10 B. Valenzuela , S. Fratini , D. Baeriswyl

In this paper, we study some of the properties of the $G \to 0$ limit of the Kerr-Newman solution of Einstein-Maxwell equations. Noting Carter's observation of the near equality between the $g = 2$ gyromagnetic ratio in the Kerr-Newman…

General Relativity and Quantum Cosmology · Physics 2025-05-07 Sajad Aghapour , Lars Andersson , Kjell Rosquist , Tomasz Smołka
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