电磁四动量关于四矢量E^α和B^α的协变表述
Covariant Formulation of Electromagnetic 4-Momentum in Terms of 4-Vectors E^αand B^α
摘要：
解释了真实变换（TT）和表观变换（AT）之间的根本区别。TT指的是相同的数量，而AT指的是，例如，在不同的惯性参考系中进行相同的测量。证明了三向量E和B的通常变换是-AT。构造了电场和磁场的四矢量E（sup alpha）和B（sup alpha）的协变电动力学。它还表明，传统的同步定义的电磁能量和动量包含这两个，AT的体积，即，Lorentz收缩，以及E和B的AT，而Rohrlich的表达式仅包含E和B的AT。利用E（sup alpha）和B（sup alpha）构造了能量-动量密度张量和电磁4-动量的显协变表达式。本文讨论了“4/3”问题，并证明了以前的所有处理要么包含体积的AT，要么包含E和B的AT，或者两者都包含。在我们的方法中，所有的量都是四维时空张量，其变换是TT。
英文摘要：
The fundamental difference between the true transformations (TT) and the apparent transformations (AT) is explained. The TT refer to the same quantity, while the AT refer, e.g., to the same measurement in different inertial frames of reference. It is shown that the usual transformations of the three-vectors E and B are - the AT. The covariant electrodynamics with the four-vectors E(sup alpha) and B(sup alpha) of the electric and magnetic field is constructed. It is also shown that the conventional synchronous definitions of the electromagnetic energy and momentum contain both, the AT of the volume, i.e.,the Lorentz contraction, and the AT of E and B, while Rohrlich's expressions contain only the AT of E and B. A manifestly covariant expression for the energy-momentum density tensor and the electromagnetic 4-momentum is constructed using E(sup alpha) and B(sup alpha). The "4/3" problem is discussed and it is shown that all previous treatments either contain the AT of the volume, or the AT of E and B, or both of them. In our approach all quantities are four-dimensional spacetime tensors whose transformations are the TT.
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。
