狭义del算子与符号运算法  

Special del Operator and Symbolic Operation Method

作　　者：史天治[1] 

机构地区：[1]淮阴师范学院物理系,江苏淮安223001

出　　处：《河南教育学院学报（自然科学版）》2007年第4期16-19,共4页Journal of Henan Institute of Education(Natural Science Edition)

摘　　要：符号运算法指证明含del算子的恒等式的简便方法.del算子也叫nabla算子(因其符号形似希腊nabla竖琴而得名),哈密顿算子或汉密尔顿算子.该文明确地给出了狭义del算子(也叫笛卡尔坐标系中的矢量偏微分算子)的定义与运算规则.该文对于统一目前有关场论著作中的符号以及电磁场理论的教学有重要的作用.The symbolic operation method refers to a convenient proving method to prove identities containing the del operator. The del operator is also called nabla operator （named because it is shaped like a Greek harp nabla） , Hamilton operator, or Hamihonian. The essay definitely defines special del operator and its operation rules. Special del is also called vector partial differential operator in Cartesian coordinates. The paper is very important to unifying symbols concerning field theory and to the teaching and learning of electromagnetic field theory presently.

关 键 词：del算子 nabla算子 符号运算法 矢量分析 张量分析 并矢分析 哈密顿算子 

分 类 号：O183[理学—数学]