运用狄拉克函数求静电场的散度和旋度  

Sloving Divergence and Curl of Electrostatic Field by Using Theory of δ Function

作　　者：孙孟乐[1] 郭向阳[2] 

机构地区：[1]洛阳工业高等专科学校教务处,河南洛阳471003 [2]洛阳工业高等专科学校自动化系,河南洛阳471003

出　　处：《兰州石化职业技术学院学报》2005年第4期47-48,共2页Journal of Lanzhou Petrochemical Polytechnic

摘　　要：电动力学中的内容一般是从电磁学最基本的实验规律出发,由静电场中的库仑定律得到静电场的高斯定理和环路定理,利用通量与散度、环流与旋度的关系,得到静电场的高斯定理和坏路定理的微分形式。本文运用δ函数的筛选性证明有关电磁学基本定理,给出了高期定理的微分形式和静电场的环流定理。From the content in the teaching material of electro dynamics, We can get gauss＇ s theorem and ampere＇ s cycle theorem in electrostatic field by the Coulomb＇ s law, which is the most basic experiment law of electromagnetics. Analysing by mathematics and the concepts of flux and curl , we can get the differential form of gauss＇ s theorems in electrostatic field and ampere＇ s cycle theorem in electrostatic field. By using theory of δ function, this paper get the characteristics of divergence and curl of electrostatic field.

关 键 词：静电场 Δ函数 散度 旋度 

分 类 号：O441.1[理学—电磁学]