解析函数的柯西定理在安培环路定理证明中的应用  

The Application of Cauchy Theorem of Analytic Function in the Proof of Ampere Circuital Theorem

作　　者：雍永亮 

机构地区：[1]河南科技大学物理工程学院,河南洛阳471023

出　　处：《科教导刊》2017年第12Z期58-59,共2页The Guide Of Science & Education

基　　金：国家自然科学基金(61774056和11304080);河南科技大学博士启动基金资助

摘　　要：大学物理中的安培环路定理是学生重点掌握的内容之一,其证明也是必须要讲解的内容。现有的教材在证明过程中多涉及复杂的矢量和积分运算,从而给学生的理解以及讲解带来一定的困难。本文利用解析函数的柯西定理,给出了一种简单明了、直观易懂的证明方法,适合在普通物理和电磁学教学与研究中使用。The Ampere Circulation Theorem in general physics is one important content should be grasped, and its proof also be explained. In current textbooks, the proof basically involves complex vector and integral operation, which makes it difficult to understand for students and explain for teachers. In this essay, using the Cauchy theorem of analytic function, one of methods that are directly-viewed and easy to understand is given, which is suitable for use in teaching and investigation of general physics and electromagnetism.

关 键 词：解析函数 柯西定理 安培环路定理 证明 

分 类 号：O441[理学—电磁学]