关于运动带电介质系统扩展麦克斯韦方程组的评述
Comments on the expanded Maxwell's equations for moving charged media system
摘要：
在最近的工作~ \cite{Wang:2021p2}中，作者提出了运动带电介质系统的扩展麦克斯韦方程组，这似乎是微妙的。考虑很短的时间，我们可以近似地定义惯性参考系。如果我们假定所有的物理量都默认定义在同一个参考系中，那么静态介质系统和运动介质系统的麦克斯韦方程组都是传统的麦克斯韦方程组，它们是协变的，并且与狭义相对论的两个基本假设是一致的。我们甚至证明了麦克斯韦方程组的协变性明确考虑洛伦兹变换下的${\cal O} (v)$阶近似和伽利略近似，分别。因此，在我们看来，扩展的麦克斯韦方程组中的场不可能在同一个参考系中。明确定义了实验室中的场和同动坐标系，导出了运动介质系统的扩展麦克斯韦方程组。此外，我们还讨论了麦克斯韦方程组的另一种可能的变体，它有一个额外的系数$α$有关的媒体。然而，从理论的角度来看，它仍然是微妙的。
英文摘要：
In the recent work~\cite{Wang:2021p2}, the author proposed the expanded Maxwell's equations for moving charged media system, which seems subtle. Considering a very short time, we can approximately define the inertial frame of reference. If we assume all the physical quantities are defined in the same reference frame by default, Maxwell's equations for the static media system and moving media system are definitely the traditional Maxwell's equations, which are covariant and consistent with the two fundamental postulates of special relativity. We even prove the covariance of Maxwell's equations explicitly by considering the Lorentz transformation under the ${\cal O} (v)$ order approximation and the Galileo approximation, respectively. Therefore, it seems to us that the fields in the expanded Maxwell's equations cannot be in the same reference frame. Defining the fields in the lab and co-moving frames explicitly, we derive the expanded Maxwell's equations for moving media system. Furthermore, we discuss another possible variant of Maxwell's equations, which has an additional coefficient $α$ related to the media. However, it is still subtle from theoretical point of view.
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