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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

In 2+1 dimensions, the evolution of flow under the influence of an external electromagnetic field is simulated. The external electromagnetic field is exponentially decaying with time. Under the same initial conditions, flow evolution with…

Nuclear Theory · Physics 2017-05-24 Bohao Feng , Zeyan Wang

We undertake an investigation of particle acceleration in the context of non-linear electrodynamics. We deduce the maximum energy that an electron can gain in a non-linear density wave in a magnetised plasma, and we show that an electron…

High Energy Physics - Theory · Physics 2015-04-21 David A. Burton , Stephen P. Flood , Haibao Wen

The study of the Brownian motion of a charged particle in electric and magnetic fields fields has many important applications in plasma and heavy ions physics, as well as in astrophysics. In the present paper we consider the electromagnetic…

High Energy Astrophysical Phenomena · Physics 2016-03-25 Tiberiu Harko , Gabriela Mocanu

We find the Noether point symmetries for non-relativistic two-dimensional charged particle motion. These symmetries are composed of a quasi-invariance transformation, a time-dependent rotation and a time-dependent spatial translation. The…

Mathematical Physics · Physics 2009-11-07 F. Haas , J. Goedert

The space-time curvature carried by electromagnetic fields is discovered and a new unification of geometry and electromagnetism is found. Curvature is invariant under charge reversal symmetry. Electromagnetic field equations are examined…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. W. M. Woodside

We show that there exists a choice of gauge in which the electromagnetic 4-potential may be written as the difference of two 4-velocity vector fields describing the motion of a two-component space-filling relativistic fluid. Maxwell's…

Classical Physics · Physics 2010-12-13 Sabbir Rahman

The symmetric tensor energy-impulse of interaction of collective of electric charges with an electromagnetic field is received. A system of covariant energy and momentum conservation equations or a system of equations for the collective…

Classical Physics · Physics 2020-02-10 Yuriy A. Spirichev

In the Born, Infeld, Bopp, Podolsky and Dirac theories the electron mass is finite (or zero), but gravity effects have not been considered. Shirokov and Fisher showed that in studying of origin of elemental particle masses we can not…

General Relativity and Quantum Cosmology · Physics 2017-05-23 Yi-Shi Duan

Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-field (or radiation reaction) of an accelerated point-charge traveling in free space. We obtain…

Classical Physics · Physics 2018-09-18 Masud Mansuripur

We compute the electromagnetic fields generated in relativistic heavy-ion collisions using the iEBE-VISHNU framework. We calculated the incremental drift velocity from the possible four sources of the electric force (coulomb, Lorentz,…

Nuclear Theory · Physics 2021-07-06 Tewodros Gezhagn , A. K. Chaubey

Carter derived the forms of the metric and the vector potentials of the space-times in which the relativistic Schrodinger equation for the motion of a charged particle separates. Here we show that on each `spheroidal' surface a rotation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan R Gair , Donald Lynden-Bell

We consider a regular and bounded dielectric body moving at a speed $|V|$, following a constant vector field $V$, with respect to a reference frame. In this frame, the special relativity implies that the Maxwell system is derived through…

Analysis of PDEs · Mathematics 2023-11-02 Manas Kar , Mourad Sini

We propose some modification of Maxwell's equations describing mediums which electric and magnetic properties are changed essentially after interaction with outer electromagnetic field. We show for such mediums that electromagnetic waves…

Analysis of PDEs · Mathematics 2008-05-15 Yuliya V. Namlyeyeva , Roman M. Taranets

A derivation of pilot waves from electrodynamic self-interactions is presented. For this purpose, we abandon the current paradigm that describes electrodynamic bodies as point masses. Beginning with the Li\'enard-Wiechert potentials, and…

Quantum Physics · Physics 2022-10-18 Álvaro García López

A system of equations, describing the evolution of electromagnetic fields, is introduced and discussed. The model is strictly related to Maxwell's equations. As a matter of fact, the Lagrangian is the same, but the variations are subjected…

General Physics · Physics 2010-08-13 Daniele Funaro

We extend the Einstein-aether theory to include the Maxwell field in a nontrivial manner by taking into account its interaction with the time-like unit vector field characterizing the aether. We also include a generic matter term. We…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Alexander B. Balakin , José P. S. Lemos

We analyze the properties of the electric and magnetic fields in different reference frames within a cosmological background space-time. First, we investigate the conformal properties of the electromagnetic fields and charge currents,…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Luciano Combi , Gustavo E. Romero

The linearized Einstein field equations with the renormalized stress tensor of a massless quantum scalar field as source are solved in the 4-dimensional spacetime near an infinite plane boundary. The motion of particles and light is…

High Energy Physics - Theory · Physics 2013-04-24 V. A. De Lorenci , L. G. Gomes , E. S. Moreira

We study the motion of a charged particle under the action of a magnetic field with cylindrical symmetry. In particular we consider magnetic fields with constant direction and with magnitude depending on the distance $r$ from the symmetry…

Dynamical Systems · Mathematics 2019-02-05 Paolo Caldiroli , Gabriele Cora