摘要
建立了外微分理论与场论之间的一些对应法则,指出外微分形式是场论中众多命题的数学模型,得到用外微分运算解决场论中梯度、旋度、散度以及环量与通量的计算和几种重要的矢量场:梯度场、旋度场、调和场证明的新方法。为利用计算机处理这类问题提供了一种简单模式,从而实现求解问题的机械化算法。
The corresponding rules of some concepts about the exterior differential and the field theory were erected. The exterior differential form was pointed out to be the mathematical model of a lot of proposition in field theory. A new way with exterior differential operation was found to solve related calculation and reference in field theory. 8 refs.
出处
《长安大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2005年第3期107-110,共4页
Journal of Chang’an University(Natural Science Edition)
关键词
外微分形式
场论
数学模型
机械化算法
exterior differential form
field theory
mathematical model
mechanized calculation method