增编“. B-循环关系的相对论协方差”[发现。10(1997)383-391]
Addendum to "...The Relativistic Covariance of the B-Cyclic Relations" [Found. Phys. Lett. 10 (1997) 383-391]
摘要:
在前一篇文章中,我们证明了B^{(0)}和{ \bf B}^{(3)}的Evans-Vigier定义可能与磁场有关{ \it not},但与4-向量场有关。本文证明了M.埃文斯和J. - Vigier可以具有关于洛伦兹变换的各种变换性质。{ \bf B}^{(3)}场是双矢量(等价于反对称二阶张量)的一部分还是四矢量的一部分,取决于({ \bf B},{ \bf E})横向场的正频和负频解定义中的相位因子。这与我们对Bargmann-Wightman-Wigner(Gelfand-Tsetlin-Sokolik)结构的考虑以及阿卢瓦利亚最近对与引力相关的相位因子的考虑密切相关。建议的结构的物理相关性进行了讨论。
英文摘要:
In the previous paper we proved that the Evans-Vigier definitions of B^{(0)} and {\bf B}^{(3)} may be related {\it not} with magnetic fields but with a 4-vector field. In the present {\it Addendum} it is shown that the terms used in the {\bf B}- Cyclic theorem proposed by M. Evans and J.-P. Vigier may have various transformation properties with respect to Lorentz transformations. The fact whether the {\bf B}^{(3)} field is a part of a bi-vector (which is equivalent to antisymmetric second-rank tensor) or a part of a 4-vector, depends on the phase factors in the definition of positive- and negative- frequency solutions of the ({\bf B}, {\bf E}) transverse field. This is closely connected to our considerations of the Bargmann-Wightman-Wigner (Gelfand-Tsetlin-Sokolik) Constructs and with the Ahluwalia's recent consideration of the phase factor related to gravity. The physical relevance of proposed constructs is discussed.
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