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The electromagnetic theory is considered in the framework of the generally covariant approach, that is applied to the analysis of electromagnetism in noninertial coordinate and frame systems. The special-relat\-ivistic formulation of…

Classical Physics · Physics 2021-10-14 Yuri N. Obukhov

The fundamental metrics, which describe any static three-dimensional Einstein-Maxwell spacetime (depending only on a unique spacelike coordinate), are found. In this case there are only three independent components of the electromagnetic…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mauricio Cataldo

A long-standing controversy concerning the causes of the magnetic field in and around a parallel-plate capacitor is examined. Three possible sources of contention are noted and detailed. The first is the ambiguous initial impression given…

Classical Physics · Physics 2022-12-07 Toshio Hyodo

To have a closed system, the Maxwell equations should be supplemented by constitutive relations which connect the primary electromagnetic fields $(\bE,\bB)$ with the secondary ones $(\bD,\bH)$ induced in a medium. Recently [Opt. Commun.…

Classical Physics · Physics 2016-09-15 A. Dargys

In accordance with an old suggestion of Asher Peres (1962), we consider the electromagnetic field as fundamental and the metric as a subsidiary field. In following up this thought, we formulate Maxwell's theory in a diffeomorphism invariant…

Classical Physics · Physics 2009-11-10 Friedrich W. Hehl , Yuri N. Obukhov

Teaching magnetism is one of the most challenging topics at undergraduate level in programmes with scientific background. A basic course includes the description of the magnetic interaction along with empirical results such as the…

Physics Education · Physics 2024-02-16 Jorge Enrique García-Farieta , Alejandro Hurtado

The derivation of the Maxwell equations is reproduced whereby magnetic charges are included. This ansatz yields the results: 1) Longitudinal Ampere forces in a differential magnetostatic force law are improbable. Otherwise an electric…

General Physics · Physics 2007-05-23 W. D. Bauer

Classical Maxwell and Maxwell-Chern-Simons (MCS) Electrodynamics in (2+1)D are studied in some details. General expressions for the potential and fields are obtained for both models, and some particular cases are explicitly solved.…

High Energy Physics - Theory · Physics 2009-10-31 Winder A. Moura-Melo , J. A. Helayël-Neto

We give a pedagogical introduction to two aspects of magnetic fields in the early universe. We first focus on how to formulate electrodynamics in curved space time, defining appropriate magnetic and electric fields and writing Maxwell…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Kandaswamy Subramanian

Maxwell's equations and the equations governing charged particle dynamics are presented for a rotating coordinate system with the global time coordinate of an observer on the rotational axis. Special care is taken in defining the relevant…

Astrophysics · Physics 2012-08-27 Paul N. Arendt,

Electromagnetism is the energy originating from an electric charge. Our purpose is to enlarge Maxwell. Include the charge transfer phenomenology. A four bosons electromagnetism is derived. An EM completeness is achieved. The charge's set…

General Physics · Physics 2022-06-01 R. Doria , L. S. Mendes

In the standard Lagrangian and Hamiltonian approach to Maxwell's theory the potentials $A^{\mu}$ are taken as the dynamical variables. In this paper I take the electric field $\vec{E}$ and the magnetic field $\vec{B}$ as the the dynamical…

Classical Physics · Physics 2021-01-26 Dan N. Vollick

We discuss the theory of electromagnetic fields, with an emphasis on aspects relevant to radiofrequency systems in particle accelerators. We begin by reviewing Maxwell's equations and their physical significance. We show that in free space,…

Accelerator Physics · Physics 2015-03-19 Andrzej Wolski

We express Maxwell's equations as a single equation, first using the divergence of a special type of matrix field to obtain the four current, and then the divergence of a special matrix to obtain the Electromagnetic field. These two…

Mathematical Physics · Physics 2007-05-23 Daniel Henry Gottlieb

Three-dimensional electron phase space holes are shown to be positive charges on the plasma background which produce a radial electric field and force the trapped electron component into an azimuthal drift. In this way electron holes…

Space Physics · Physics 2012-04-20 R. A. Treumann , W. Baumjohann

Elements of a new model of strong interactions are described. The model is based on an extension of electrodynamics that is derived from a regular Lagrangian density. Here the electric and magnetic fields of Maxwell equations play a…

Nuclear Theory · Physics 2007-05-23 E. Comay

The Maxwell equations expressed in terms of the excitation $\H=({\cal H}, {\cal D})$ and the field strength $F=(E,B)$ are metric-free and require an additional constitutive law in order to represent a complete set of field equations. In…

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. W. Hehl , Yu. N. Obukhov , G. F. Rubilar , M. Blagojevic

We give a detailed description of electrodynamics as an emergent theory from condensed-matter-like structures, not only {\it per se} but also as a warm-up for the study of the much more complex case of gravity. We will concentrate on two…

General Relativity and Quantum Cosmology · Physics 2014-12-12 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gil Jannes

Using two new well defined 4-dimensional potential vectors, we formulate the classical Maxwell's field theory in a form which has manifest Lorentz covariance and SO(2) duality symmetry in the presence of magnetic sources. We set up a…

High Energy Physics - Theory · Physics 2009-11-07 Wen-Jun Chen , Kang Li , Carlos Naón

We quantize the Maxwell theory in the presence of a electric charge in a "dual" Loop Representation, i.e. a geometric representation of magnetic Faraday's lines. It is found that the theory can be seen as a theory without sources, except by…

High Energy Physics - Theory · Physics 2014-11-20 Lorenzo Leal