双四维矢势及用其构造的电磁场张量

Two Four-vector Potential and Electromagnetic Field Strength Tensor Constructed by Them

讨论了在磁荷存在时如何用两个四维矢势来构造电磁场张量 ,用所构造的电磁场张量及其对偶张量可以把电磁场的 L agrange密度 ,Maxwell方程、能量 -动量张量等表述更加简洁、更加明显地展示电与磁之间的对称性 ,并展示了其与通常无磁荷时相类似的形式 .同时还证明在磁荷为零的区域两个四维矢势可以合并为一个 .

How to construct the electromagnetic field strength tensor by suing two four vector potential is discussed when magnetic charges are presented. By using this electromagnetic field strength tensor and its duals, the Lagrange density, Maxwell equation and energy momentum tensor can be wrotten in a very compact form exhibiting the symmetry between electricity and magnetism more explicitly and is very similar to form when there are not magnetic charges. It also shows that two four vector potential can be combined into one four vector potential in the region being free of magnetic charges.