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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…

天体物理学 · 物理学 2012-08-27 Paul N. Arendt,

After having identified all the possible relationships between the electric field and the magnetic field in a given inertial reference frame we derive the transformation equations for the components of these fields. Special relativity is…

综合物理 · 物理学 2007-10-17 Bernhard Rothenstein , Stefan Popescu

This article contains a digest of the theory of electromagnetism and a review of the transformation between inertial frames, especially under low speed limits. The covariant nature of the Maxwell's equations is explained using the…

经典物理 · 物理学 2022-05-03 Hao Chen , Wei E. I. Sha , Xi Dai , Yue Yu

It has been said that Maxwell's theory of electromagnetic field is relativistic as Einstein showed that these axioms of Maxwell are all Lorentz invariant. We investigate some issues regarding these results.

综合物理 · 物理学 2020-08-05 Akira Kanda , Renata Wong , Mihai Prunescu

A new term describing interactions between charge and potentials may be added to the right hand side of the Einstein equations. In the proposed term an additional tensor has been introduced containing a charge density, analogous to the…

综合物理 · 物理学 2016-09-08 Jacob Biemond

A general law for electromagnetic induction phenomena is derived from Lorentz force and Maxwell equation connecting electric field and time variation of magnetic field. The derivation provides with a unified mathematical treatment the…

经典物理 · 物理学 2007-05-23 Giuseppe Giuliani

Starting from the experimental fact that a moving charge experiences the Lorentz force and applying the fundamental principles of simplicity (first order derivatives only) and linearity (superposition principle), we show that the structure…

经典物理 · 物理学 2016-05-27 Gerhard Diener , Jürgen Weissbarth , Frank Grossmann , Rüdiger Schmidt

Maxwell's equations are formulated in arbitrary moving frames by means of tetrad fields, which are interpreted as reference frames adapted to observers in space-time. We assume the existence of a general distribution of charges and currents…

经典物理 · 物理学 2010-12-01 J. W. Maluf , S. C. Ulhoa

Electromagnetic quantities at a spacetime point have tensor Lorentz transformations between relatively-moving inertial frames. However, since the Lorentz transformation of time between inertial frames depends upon both the time and space…

经典物理 · 物理学 2024-09-10 Timothy H. Boyer

Maxwell's equations and the Lorentz force density are expressed using an alternative simultaneity gauge. As a result, they describe electrodynamics for an observer travelling with a constant velocity through an isotropic medium. If desired,…

物理学史与哲学 · 物理学 2013-06-21 Benjamin Nasmith

The form of Maxwell's theory is well known in the framework of general relativity, a fact that is related to the applicability of the principle of equivalence to electromagnetic phenomena. We pose the question whether this form changes if…

广义相对论与量子宇宙学 · 物理学 2016-08-15 Roland A. Puntigam , Claus Lämmerzahl , Friedrich W. Hehl

A generalization of the classical electrodynamics for systems in absolute motion is presented using a possible alternative to the Lorentz transformation. The main hypothesis assumed in this work are: a) The inertial transformations relate…

综合物理 · 物理学 2015-06-26 Gabriel D. Puccini

The force exerted by an electromagnetic body on another body in relative motion, and its minimal expression, the force on moving charges or \emph{Lorentz' force} constitute the link between electromagnetism and mechanics. Expressions for…

经典物理 · 物理学 2021-09-03 M. A. Natiello , Hernán G Solari

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…

经典物理 · 物理学 2021-10-14 Yuri N. Obukhov

Two known, alternative to each other, forms of the Maxwell's electromagnetic equations in a moving uniform media are investigated and discussed. Approach commonly used after Minkowski is based on the two tensors: H^{ab} = (D, H /c) and…

高能物理 - 理论 · 物理学 2007-05-23 V. A. Red'kov , George J. Spix

In this work, we demonstrate explicitly the unified nature of electric and magnetic fields, from the principles of special relativity and Lorentz transformations of the electromagnetic field tensor. Using an operational approach we…

综合物理 · 物理学 2023-11-09 Thales B. S. F. Rodrigues , B. F. Rizzuti

The shortening of bodies in the direction of motion, Lorentz contraction, follows from the solution of Maxwell's equations. Moving light clocks will tick slower than those at rest because the speed of light does not depend on a source of…

综合物理 · 物理学 2008-09-24 Valery P. Dmitriyev

Many papers have been published over the years that either conjecture or even (claim to) prove the universality of the form of Maxwell's equations. We present yet another derivation of Maxwell's equations and discuss the conclusions…

经典物理 · 物理学 2025-01-24 C. Baumgarten

The statement that Maxwell's electrodynamics in vacuum is already covariant under Lorentz transformations is commonplace in the literature. We analyse the actual meaning of that statement and demonstrate that Maxwell's equations are…

经典物理 · 物理学 2023-04-10 D V Redzic

It is shown that the set of equations known as Maxwell's equations perfectly describe two very different systems: (1) the usual electromagnetic phenomena in vacuum or in the matter and (2) the deformation of isotropic solid lattices,…

综合物理 · 物理学 2016-10-05 G. Gremaud
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