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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…

经典物理 · 物理学 2020-02-10 Yuriy A. Spirichev

There are various formulations of energy--momentum tensors for an electromagnetic field in a linear dielectric. The total energy--momentum tensor, comprised of electromagnetic and material components, must be unique. We discuss the…

光学 · 物理学 2017-11-07 Michael E. Crenshaw

The total momentum of a thermodynamically closed system is unique, as is the total energy. Nevertheless, there is continuing confusion concerning the correct form of the momentum and the energy-momentum tensor for an electromagnetic field…

光学 · 物理学 2015-02-12 Michael E. Crenshaw , Thomas B. Bahder

The article describes a new approach to obtaining the energy-momentum tensor of electromagnetic field in medium without the use of Maxwell's equations and Poynting theorem. The energy-momentum tensor has new qualities and consequences. Its…

经典物理 · 物理学 2017-04-13 Yurii A. Spirichev

On the basis of a non-local Lagrangian for Maxwell equations in a dispersive medium, the energy-momentum tensor of the field is derived. We obtain the Field equations through variational methods and an extension of Noether theorem for a…

经典物理 · 物理学 2021-05-12 Carlos Heredia , Josep Llosa

The Abraham--Minkowski momentum controversy is the outwardly visible symptom of an inconsistency in the use of the energy-momentum tensor in the case of a plane quasimonochromatic field in a simple linear dielectric. We show that the Gordon…

经典物理 · 物理学 2012-11-09 Michael E. Crenshaw

A symmetric and conserved energy-momentum tensor for a scalar field in a moving medium is derived using the Gordon metric. When applied to an electromagnetic field, the method gives a similar result. This approach thus points a way out of…

广义相对论与量子宇宙学 · 物理学 2015-05-28 Finn Ravndal

In a continuum setting, the energy-momentum tensor embodies the relations between conservation of energy, conservation of linear momentum, and conservation of angular momentum. The well-defined total energy and the well-defined total…

光学 · 物理学 2015-02-12 Michael E. Crenshaw

We discuss the relation between canonical and metric energy-momentum tensors for field theories with actions that can depend on the higher derivatives of tensor fields in a flat spacetime. In order to obtain it we use a modification of the…

广义相对论与量子宇宙学 · 物理学 2019-01-14 R. V. Ilin , S. A. Paston

We review the energy concept in the case of a continuum or a system of fields. First, we analyze the emergence of a true local conservation equation for the energy of a continuous medium, taking the example of an isentropic continuum in…

广义相对论与量子宇宙学 · 物理学 2016-09-13 Mayeul Arminjon

The energy--momentum tensor and the tensor continuity equation serve as the conservation laws of energy, linear momentum, and angular momentum for a continuous flow. Previously, we derived equations of motion for macroscopic electromagnetic…

经典物理 · 物理学 2015-03-26 Michael E. Crenshaw

We provide a field-theoretic algorithm of obtaining energy momentum tensor (EMT) for gravitationally coupled theories. The method is based on an auxiliary field theory and equally applicable to both minimal and non-minimal coupling. The…

广义相对论与量子宇宙学 · 物理学 2018-03-08 Pradip Mukherjee , Anirban Saha , Amit Singha Roy

The field theoretical description of the general relativity (GR) is further developed. The action for the gravitational field and its sources is given explicitely. The equations of motion and the energy-momentum tensor for the gravitational…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. V. Babak , L. P. Grishchuk

It is commonly believed as a fundamental principle that energy-momentum conservation of a physical system is the result of space-time symmetry. However, for classical particle-field systems, e.g., charged particles interacting through…

等离子体物理 · 物理学 2015-04-20 Hong Qin , J. W. Burby , Ronald C. Davidson

From the energy-momentum tensors of the electromagnetic field and the mechanical energy-momentum, the equations of energy conservation and balance of electromagnetic and mechanical forces are obtained. The equation for the Abraham force in…

经典物理 · 物理学 2017-05-25 Yurii A. Spirichev

Several energy-momentum "tensors" of gravitational field are considered and compared in the lowest approximation. Each of them together with energy-momentum tensor of point-like particles satisfies the conservation laws when equation of…

高能物理 - 理论 · 物理学 2007-05-23 A. I. Nikishov

We discuss the electromagnetic energy-momentum distribution and the mechanical forces of the electromagnetic field in material media. There is a long-standing controversy on these notions. The Minkowski and the Abraham energy-momentum…

经典物理 · 物理学 2009-11-10 Yuri N. Obukhov , Friedrich W. Hehl

Several energy-momentum "tensors" of gravitational field are considered and compared in the lowest approximation. Each of them together with energy-momentum tensor of point-like particles satisfies the conservation laws when equations of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. I. Nikishov

Invoking Maxwell's classical electrodynamics in conjunction with expressions for the electromagnetic (EM) energy, momentum, force, and torque, we use a few simple examples to demonstrate the nature of linear and angular momentum exchange…

光学 · 物理学 2018-09-17 Masud Mansuripur

We give a new representation as tempered distribution for the energy-momentum tensor of a system of charged point-particles, which is free from divergent self-interactions, manifestly Lorentz-invariant and symmetric, and conserved. We…

高能物理 - 理论 · 物理学 2008-11-26 K. Lechner , P. A. Marchetti
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