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耗散介质动力学的协变表述

Covariant Formulation of the Dynamics in a Dissipative Dielectric Obtained from a Simplified Lagrangian

Asher Yahalom, Robert Englman, Yosef Pinhasi

摘要:

利用拉格朗日形式,得到了色散和耗散介质的运动方程和能量-动量密度张量。以前的工作,作者对这个问题已经简化了拉格朗日的独立向量场的数量减少,与汇模式(与耗散)相互作用。本文还制定了在协变(相对论)的方式在介质中的电磁场的动力学。我们讨论(和比较)的结果,特别是从积极的能量密度的角度来看。

英文摘要:

Equations of motions and energy-momentum density tensors are obtained for a dispersive and dissipative medium sustaining electric and magnetic polarizations, using Lagrangian formalisms. A previous work on the subject by the authors has been simplified by reduction in the Lagrangian of the number of independent vector fields, with which the sink modes (associated with the dissipation) interact. The paper also formulates the dynamics of the electromagnetic field in the medium in a covariant (relativistic) manner. We discuss (and compare) the results, especially from the point of view of the positivity of the energy density.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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