微分形式与外微分在电磁场中的应用  

STUDY ON APPLICATIONS OF DIFFERENTIAL FORM AND EXTERIOR DIFFERENTIAL TO ELECTROMAGNETIC FIELD THEORY

作　　者：陈强顺[1] 

机构地区：[1]同济大学

出　　处：《扬州师院学报（自然科学版）》1990年第3期54-62,共9页

摘　　要：建立电磁场基本方程的外微分形式和坡印亭定理的外微分形式。阐述电磁场量微分形式和电磁场源微分形式的由来。根据麦克斯韦电磁场方程组的外微分形式导出对应的电磁场张量方程。由电磁场量微分形式的相对论协变性和电磁场源微分形式的相对论协变性,分别导出电磁场量之间的相对论变换关系和电磁场源之间的相对论变换关系。The exterior differential form of the fundamental equations of electromagnetic field and the exterior differential form of Poynting's theorm are given. The origin of the differential forms of electromagnetic field quantitics and electromagnetic field sources is also described. The relative electromagnetic field tensor cquations are deduced according to the exterior differential form of Mexwell's field equations. At the same time, the transformation relationship between electromagnetic field quantitics and the transformation relationship between electromagnetic field sourcesare derived from the invariance of special relativistic theory for the differential form of clcctromagnetic field quantities and the differential form of electromagrietic field sources respectively.

关 键 词：电磁场 微分形式论 外微分形式 

分 类 号：O441.4[理学—电磁学]