论文标题
关于扩展的麦克斯韦方程的评论,用于移动充电媒体系统
Comments on the expanded Maxwell's equations for moving charged media system
论文作者
论文摘要
在最近的工作〜\ cite {Wang:2021p2}中,作者提出了扩展的Maxwell方程,以移动带电的媒体系统,这似乎很微妙。考虑到很短的时间,我们可以大致定义惯性的参考框架。如果我们假设所有物理量默认情况下是在同一参考框架中定义的,那么麦克斯韦的静态媒体系统和移动媒体系统的方程绝对是传统的麦克斯韦方程,它们是协方差且与特殊相对论的两个基本假设一致的。我们甚至通过分别考虑$ {\ cal o}(v)$顺序近似值和galileo近似值,明确地证明了麦克斯韦方程的协方差。因此,在我们看来,扩展的麦克斯韦方程中的字段不能在同一参考框架中。我们明确定义实验室中的字段,并明确地共同移动框架,我们得出了扩展的Maxwell方程以移动媒体系统。此外,我们讨论了Maxwell方程的另一个可能的变体,该方程式具有与媒体相关的额外系数$α$。但是,从理论的角度来看,它仍然是微妙的。
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.