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Formal analogies between gravitational and optical phenomena have been explored for over a century, providing valuable insights into kinematic aspects of general relativity. Here, this analogy is employed to study light propagation in…

广义相对论与量子宇宙学 · 物理学 2025-11-04 Lucas T. de Paula , Caio C. Holanda Ribeiro , Vitorio A. De Lorenci

Anisotropy of a space naturally leads to direction dependent electromagnetic tensors and electromagnetic potentials. Starting from this idea and using variational approaches and exterior derivative formalism, we extend some of the classical…

数学物理 · 物理学 2009-11-11 Nicoleta Voicu-Brinzei , Sergey Siparov

We begin by reviewing the derivation of generalized Maxwell equations from an operational definition of the electromagnetic field and the most basic notions of what constitutes a dynamical field theory. These equations encompass the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Haugan , C. Laemmerzahl

The Duffin-Kemmer form of massless vector field (Maxwell field) is extended to the case of arbitrary pseudo-Riemannian space-time in accordance with the tetrad recipe of Tetrode-Weyl-Fock-Ivanenko. In this approach, the Maxwell equations…

数学物理 · 物理学 2009-05-12 A. A. Bogush , E. M. Ovsiyuk , V. M. Red'kov

Classical electrodynamics can be based on the conservation laws of electric charge and magnetic flux. Both laws are independent of the metric and the linear connection of spacetime. Within the framework of such a premetric electrodynamics…

经典物理 · 物理学 2007-05-23 Friedrich W. Hehl , Yakov Itin , Yuri N. Obukhov

The classical electromagnetic field of a spinless point electron is described in a formalism with extended causality by discrete finite point-vector fields with discrete and localized point interactions. These fields are taken as a…

高能物理 - 理论 · 物理学 2016-08-15 Manoelito M de Souza , Jair V. Costa , Adriano S. Pedra

We derive basic equations of electromagnetic fields in fractal media which are specified by three indepedent fractal dimensions {\alpha}_{i} in the respective directions x_{i} (i=1,2,3) of the Cartesian space in which the fractal is…

数学物理 · 物理学 2015-05-28 Martin Ostoja-Starzewski

The raising of both indices in the components of the Minkowski electromagnetic field strength 2-form to give the components of the electromagnetic excitation bivector field can be regarded as being equivalent to an electromagnetic…

广义相对论与量子宇宙学 · 物理学 2017-03-17 D. H. Delphenich

Maxwell's equations comprise both electromagnetic and gravitational fields. The transverse part of the vector potential belongs to magnetism, the longitudinal one is concerned with gravitation. The Coulomb gauge indicates that longitudinal…

综合物理 · 物理学 2007-05-23 V. P. Dmitriyev

We formulate a symmetry principle on the basis of the duality of electric and magnetic fields and apply it to dispersion forces. Within the context of macroscopic quantum electrodynamics, we rigorously establish duality invariance for the…

量子物理 · 物理学 2010-01-04 Stefan Yoshi Buhmann , Stefan Scheel , Hassan Safari , Dirk-Gunnar Welsch

We derive the Euler-Heisenberg solutions that describe electromagnetic waves propagating through very intense uniform magnetic or electric background, with the effective metric approach. We first explore the case of a magnetic background:…

高能物理 - 理论 · 物理学 2021-02-24 Elda Guzman-Herrera , Nora Breton

One can interpret the Dirac equation either as giving the dynamics for a classical field or a quantum wave function. Here I examine whether Maxwell's equations, which are standardly interpreted as giving the dynamics for the classical…

量子物理 · 物理学 2019-05-30 Charles T. Sebens

In this paper Maxwell equations are used to analyze the propagation of oscillating electric and magnetic fields from a moving electric dipole source. The results show that both the magnetic field and electric fields generated propagate…

综合物理 · 物理学 2007-05-23 William D. Walker

Two methods are explained to exactly solve Maxwell's equations where permittivity, permeability and conductivity may vary in space. In the constitutive relations, retardation is regarded. If the material properties depend but on one…

光学 · 物理学 2012-08-20 Ulrich Brosa

Since the Maxwell theory of electromagnetic phenomena is a gauge theory, it is quite important to evaluate the zero-point energy of the quantized electromagnetic field by a careful assignment of boundary conditions on the potential and on…

高能物理 - 理论 · 物理学 2007-05-23 Giampiero Esposito , Alexander Yu. Kamenshchik , Klaus Kirsten

Electromagnetic wave propagation inside isotropic material media characterized by dielectric coefficients $\varepsilon_{\mu\nu}(E,B)$ and $\mu_{\mu\nu}(E,B)$ is examined. The regime of the eikonal approximation is considered. The Hadamard…

光学 · 物理学 2013-04-24 Vitorio A. De Lorenci , Guilherme P. Goulart

Suggested non-linear, non-gauge modification of the Maxwell theory of electromagnetism based on correlation between electromagnetic potential, $A_a$, and metric, $g_{ab}$, such that tensor $G_{ab} = g_{ab} - l^2{A}_a{A}_b$ represents…

综合物理 · 物理学 2007-05-23 Dmitriy Palatnik

This paper is intended to investigate the relation between electrodynamics in anisotropic material media and its analogous formulation in an spacetime, with non-null Riemann curvature tensor. After discussing the electromagnetism via chiral…

经典物理 · 物理学 2008-07-11 R. da Rocha , I. L. Freire

We determine the invariant expression of the force density that the electromagnetic field exerts on dipolar matter and construct the non-symmetric energy-momentum tensor of the electromagnetic field in matter which is consistent with that…

经典物理 · 物理学 2017-11-17 Rodrigo Medina , J. Stephany

Electromagnetic field (EMF) is the most fundamental field in condensed-matter physics. Interaction between electrons, electron-ion interaction, and ion-ion interaction are all of the electromagnetic origin, while the other 3 fundamental…

材料科学 · 物理学 2015-05-30 Naoto Nagaosa , Yoshinori Tokura