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The problem of the electromagnetic energy-momentum tensor is among the oldest and the most controversial in macroscopic electrodynamics. In the center of the issue is a dispute about the Minkowski and the Abraham tensors for moving media.…

广义相对论与量子宇宙学 · 物理学 2008-08-15 Yuri N. Obukhov

Applications of the covariant theory of drive-forms are considered for a class of perfectly insulating media. The distinction between the notions of "classical photons" in homogeneous bounded and unbounded stationary media and in stationary…

经典物理 · 物理学 2015-05-18 Shin-itiro Goto , Robin W. Tucker , Timothy J. Walton

This is paper I of a series of two papers, offering a self-contained analysis of the role of electromagnetic stress-energy-momentum tensors in the classical description of continuous polarizable perfectly insulating media. While…

经典物理 · 物理学 2015-05-18 Shin-itiro Goto , Robin W. Tucker , Timothy J. Walton

It is pointed out that the previous energy-momentum tensors of Minkowski and Abraham for the electromagnetic field in continuous media are based on a covariant formulation which does not reflect a symmetry inherent to the system. Instead,…

高能物理 - 唯象学 · 物理学 2008-09-30 Finn Ravndal

We find that the energy-dynamic tensor of electromagnetic wave in medium defined by Lagrange density is very similar to that of ordinary fluid, and density and pressure can be defined similarly. The pressure here is different from the…

综合物理 · 物理学 2023-09-08 Gui-Xiong Liang

The 100-year-long problem concerning the correct form of the electromagnetic energy-momentum tensor in continuous media (usually called the Abraham-Minkowski problem) continues to attract interest. We provide a critical analysis of…

光学 · 物理学 2018-10-29 Iver Brevik

The form of the phenomenological stress-energy-momentum tensor for the electromagnetic field in a class of inhomogeneous, anisotropic magneto-electric media is calculated from first principles, leading to a coherent understanding of the…

数学物理 · 物理学 2009-11-11 T. Dereli , J. Gratus , R. W. Tucker

We find that the energy-momentum tensor of electromagnetic waves in media is very similar to that of ordinary fluids, and concepts such as density, pressure, and energy transfer rate can be similarly defined. On this basis, we conducted a…

经典物理 · 物理学 2023-09-11 Gui-Xiong Liang

There exist two popular energy-momentum tensors for an electromagnetic wave in a dielectric medium. The Abraham expression is robust to experimental verification but more mathematically demanding, while the Minkowski expression is the…

经典物理 · 物理学 2009-02-22 R. N. C. Pfeifer , T. A. Nieminen , N. R. Heckenberg , H. Rubinsztein-Dunlop

We compare the known in literature, explicitly covariant 4-dimensional formula for the symmetric energy-momentum tensor of electromagnetic field in a medium and the energy-momentum tensor derived by Abraham in the 3-dimensional vector form.…

经典物理 · 物理学 2016-11-04 V. V. Nesterenko , A. V. Nesterenko

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

This paper resolves a persistent ambiguity regarding the covariant formulation of electrodynamics in a vacuum, as well as of Minkowski's electrodynamics of moving isotropic media. By analyzing a recent debate, we demonstrate that current…

经典物理 · 物理学 2026-05-28 D V Redžić

In the general setting of the problem, the explicit compact formulae are derived for the ponderomotive forces in the macroscopic electrodynamics of moving media in the Minkowski and Abraham approaches. Taking account of the Minkowski…

经典物理 · 物理学 2016-11-09 V. V. Nesterenko , A. V. Nesterenko

After more than a century of debate, there remains continuing discomfort over what is the correct expression for the electromagnetic momentum in a dielectric medium. This is the so-called the Minkowski-Abraham controversy. We show that…

经典物理 · 物理学 2017-07-05 Joseph J. Bisognano

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

The form of the energy-momentum tensor when a quasimonochromatic field propagates into and through an antireflection-coated, sourceless, transparent, continuous, linear magneto-dielectric medium, initially at rest in the local frame,…

光学 · 物理学 2022-11-21 Michael E. Crenshaw

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

We derive a generalized Minkowski Energy Momentum Tensor for a monochromatic wave in a lossless medium exhibiting temporal and spatial dispersion. The Energy Momentum Tensor is then related to familiar expressions for energy density and…

综合物理 · 物理学 2016-04-11 Chris Fietz

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

The 4-dimensionally covariant approach to multiconstituent Newtonian fluid dynamics presented in the preceding article of this series is developed by construction of the relevant 4-dimensional stress energy tensor whose conservation in the…

天体物理学 · 物理学 2009-11-10 Brandon Carter , Nicolas Chamel
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