关于电磁场的结构

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 STUCTURE OF THEORY ON ELECTROMAGNETISM FIELD

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 thatover 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.