关于电磁场的结构

THE STUCTURE OF THEORY ON ELECTROMAGNETISM FIELD

本文讨论了电磁场的结构。作者从变分原理导出了麦氏方程蛆,同时又阐述了电磁场是规范场和电磁势是U(1)丛上的联络这两个近代观点。通过把麦氏方程组表示成外微分形式,作者得到了罗仑兹协变的电磁场方程组。从在不单连通的底流形上的U(1)丛上存在不同的联络这一事实出发,作者得出了Aha-ranov-Bohm效应。最后,考虑到麦氏方程组对(?)和(?)的对称性,还讨论了磁单极问题。

The structure of electromagnetic field is discussed in this paper. we derive the Maxwell equations from variational principle, simultaneously We show two modern viewpoints that electromagnetic field is a gauge field and electromagnetic potential is the connection on U(1) bundle as well. We get a set of Lorentz covariant electromagnetic equations by means of expressing Maxwell equations into exterior differential forms. Sta'rting from the fact that over non-monoconnectivity base manifold there exist different connections on U ( 1 ) bundle, we get out Aharanov-Bohm effect. Finally taking account of symmetry of Maxwell equations carresponding to E and B , the magnetic monop-ole Problems are discussed.