动力-光学活性介质:闵可夫斯基-亚伯拉罕争论的新方面

A. Balakin, T. Y. Alpin
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引用次数: 0

摘要

基于协变变形式,分别在四分体和以太范式框架下重构了动态光学主动相对论介质中电磁场对称有效应力-能量张量的两个版本。我们表明,对于两种形式的应力-能量张量,能量密度标量和压力张量重合,然而,在一般情况下,相应的能量通量四向量恰好是不同的。这一数学事实为长达100年的闵可夫斯基-亚伯拉罕之争增添了新的论据,这场争论与连续介质中电磁能量通量的正确定义有关。我们考虑三个例子:第一,轴离子活性真空;二是空间各向同性运动介质;第三,光动力活性介质。我们讨论了详细形式主义的可能应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
DYNAMO-OPTICALLY ACTIVE MEDIA: NEW ASPECTS OF THE MINKOWSKI-ABRAHAM CONTROVERSY
Based on the covariant variation formalism, two versions of the symmetric effective stress-energy tensor of the electromagnetic field in a dynamo-optically active relativistic media are reconstructed in the framework of the tetrad and aether paradigms, respectively. We show that the energy density scalars and pressure tensors coincide for both versions of the stress-energy tensors, however, the corresponding energy flux four-vectors happen to be different in general case. This mathematical fact adds new arguments into the 100-year-long discussion, which is called Minkowski-Abraham controversy and is connected with the correct definition of the electromagnetic energy flux in a continuous media. We consider three examples: first, the axionically active vacuum; second, the spatially isotropic moving dielectric medium; third, the dynamo-optically active medium. We discuss possible applications of the elaborated formalism.
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