根据闵可夫斯基的电场和磁场的洛伦兹变换
Lorentz Transformations of the Electric and Magnetic Fields According to Minkowski
摘要：
3-向量E和B的通常变换（UT），由洛伦兹、庞加莱和爱因斯坦在1905年独立发现。通常认为是E和B的洛伦兹变换（LT）。根据UT，在一个帧中的E被“视为”相对移动帧中的E“和B”。在闵可夫斯基1908年的最后一篇论文中。在第11.6节中，他定义了电场$Φ$和磁场$Ψ$的矢量（具有四个分量），并发现，例如，$Φ$通过LT再次正确转换为$Φ^{\prime}$。他的正确LT被重新发明，例如，[11]（[11] Ivezić T 2005 Found. Phys. Lett. 18 301）。本文证明了11.6节中的Minkowski关系与文[11]中的结果之间的本质相似性和某些区别。UT和LT的低速极限进行了简要的检查。与Trouton-Noble实验的比较进行了简短的讨论。
英文摘要：
The usual transformations (UT) of the 3-vectors E and B that are found by Lorentz, Poincaré and independently by Einstein in 1905. are generally considered to be the Lorentz transformations (LT) of E and B. According to the UT E in one frame is 'seen' as E' and B' in a relatively moving frame. In Minkowski's last paper, in 1908. in section 11.6, he defined the vectors (with four components) of the electric $Φ$ and magnetic $Ψ$ fields and discovered that, e.g., $Φ$ correctly transforms by the LT again to $Φ^{\prime}$. His correct LT are reinvented in, e.g., [11] ([11] Ivezić T 2005 Found. Phys. Lett. 18 301). In this paper we show the essential similarity and some differences between Minkowski's relations in section 11.6 and the results obtained in [11]. The low-velocity limit of the UT and the LT is briefly examined. A short discussion of the comparison with the Trouton-Noble experiment is presented.
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