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A symmetry analysis is presented for the three-dimensional nonrelativistic motion of charged particles in arbitrary stationary electromagnetic fields. The general form of the Lie point symmetries is found along with the fields that respect…

Mathematical Physics · Physics 2015-06-15 Nikos Kallinikos , Efthymia Meletlidou

In this work we modify the wave-corpuscle mechanics for elementary charges introduced by us recently. This modification is designed to better describe electromagnetic (EM) phenomena at atomic scales. It includes a modification of the…

Classical Physics · Physics 2015-05-14 Anatoli Babin , Alexander Figotin

We investigate the so called Biefeld-Brown effect in terms of dimensional analysis and in the frame of classical electrodynamics.

Space Physics · Physics 2019-03-22 Mario J. Pinheiro

A four-vector field in flat space-time, satisfying a gauge-invariant set of second-order differential equations, is considered as a unified field. The model variational principle corresponds to the general covariance idea and gives rise to…

High Energy Physics - Theory · Physics 2008-11-26 Alexander A. Chernitskii

The electrostatic configurations of the Born-Infeld field in the 2-dimensional Euclidean plane are obtained by means of a non-analytical complex mapping which captures the structure of equipotential and field lines. The electrostatic field…

High Energy Physics - Theory · Physics 2011-07-19 Rafael Ferraro

A model of nonlinear electrodynamics with two parameters, coupled with general relativity, is investigated. We study the magnetized black hole and obtain solutions. The asymptotic of the metric and mass functions at $r\rightarrow\infty$ and…

General Relativity and Quantum Cosmology · Physics 2017-08-24 S. I. Kruglov

In this letter we study the self-energy of a point-like charge for the electromagnetic field in a non minimal Lorentz symmetry breaking scenario in a $n+1$ dimensional space time. We consider two variations of a model where the Lorentz…

High Energy Physics - Theory · Physics 2019-07-11 L. H. C. Borges , F. A. Barone , A. F. Ferrari

We consider the bending of light around a compact astrophysical object with both the electric field and the magnetic field in Einstein-Born-Infeld theory. From the null geodesic of a light ray passing a massive object with electric charge…

General Relativity and Quantum Cosmology · Physics 2024-10-21 Jin Young Kim

Born-Infeld electrogravity is defined through a Lagrangian that couples gravity and electromagnetism within a single determinantal structure. The field equations are derived in Palatini's formalism, where the metric, connection, and vector…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Guadalupe Ahumada Acuña , Cecilia Bejarano , Rafael Ferraro

We first write down a very general description of nonlinear classical electrodynamics, making use of generalized constitutive equations and constitutive tensors. Our approach includes non-Lagrangian as well as Lagrangian theories, allows…

High Energy Physics - Theory · Physics 2008-11-26 Steven Duplij , Gerald A. Goldin , Vladimir M. Shtelen

Recent ultra-intense lasers of subcritical fields and proposed observations of the x-rays polarization from highly magnetized neutron stars of supercritical fields have attracted attention to vacuum birefringence, a unique feature of…

High Energy Astrophysical Phenomena · Physics 2025-04-08 Chul Min Kim , Sang Pyo Kim

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

Bekenstein and Mayo proposed a generalised bound for the entropy, which implies some inequalities between the charge, energy, angular momentum, and the size of the macroscopic system. Dain has shown that Maxwell's electrodynamics satisfies…

General Relativity and Quantum Cosmology · Physics 2018-01-17 M. L. Peñafiel , F. T. Falciano

The mechanism for the generation of multipole moments due to an external field is presented for the Born-Infeld charged particle. The 'polarizability coefficient' for arbitrary l-pole moment is calculated. The l-th coefficient is…

High Energy Physics - Theory · Physics 2008-11-26 Dariusz Chruscinski , Jerzy Kijowski

From non-linear theory of electromagnetism, suggested in (physics/9801031), follows that non-relativistic equation for scalar potential of electron in the field of nuclei is equivalent to respective Schr\"odinger equation. For mass and…

General Physics · Physics 2007-05-23 Dmitriy Palatnik

Gauge invariance, a core principle in electrodynamics, has two separate meanings. One concept treats the photon as the gauge particle for electrodynamics. It is based on symmetries of the Lagrangian, and requires no mention of electric or…

General Physics · Physics 2022-02-08 H. R. Reiss

In these lectures I shall explain how a new-found nonabelian duality can be used to solve some outstanding questions in particle physics. The first lecture introduces the concept of electromagnetic duality and goes on to present its…

High Energy Physics - Theory · Physics 2007-05-23 ST Tsou

We survey a new approach to the duality-invariant systems of nonlinear electrodynamics, based on introducing auxiliary bi-spinor fields. In this approach, the entire information about the given self-dual system is encoded in the U(1)…

High Energy Physics - Theory · Physics 2015-06-17 Evgeny Ivanov , Olaf Lechtenfeld , Boris Zupnik

We extensively explore three different aspects of Born-Infeld (BI) type nonlinear $U(1)$ gauge-invariant modifications of Maxwell's classical electrodynamics (also known as BI-type nonlinear electrodynamics) and bring some new perspectives…

High Energy Physics - Theory · Physics 2022-07-27 Ali Dehghani , Mohammad Reza Setare , Soodeh Zarepour

We propose an identification of the free parameter in the model of nonlinear electrodynamics proposed in P. Gaete and J. Helayel-Neto, Eur. Phys. J. C 74, 2816 (2014) by equating the second term in the power expansion of its Lagrangian with…

High Energy Physics - Theory · Physics 2016-11-30 D. Gitman , A. Shabad