电四极子电势的数学物理方法

Mathematical Physics’ Method for the Potential about Electronic Four Molecules

集中在小区域的电荷体系所产生的电势,可表为一组位于原点的多极子电势的迭加。本文从数学物理方法的角度求解拉普拉斯方程,所得结论可表示出电多极电势的通解,各项物理意义明晰;我们重点研究电四极子电势,同时对比常规的电动力学的求解方法,得出本文在方法与进一步理解电多极子场两方面显示出一定的优越性。

The arbitrary charge edifice concentrate in a small region is expressed as the repeated addition of multiple molecules all levels.The electric potential produced by the charge edifice in a small region is expressed as the repeated addition of electric potential which is produced by a set of multiple molecules in the original position;Therefore we can know the physical sense of every item in the general solution and have a better understanding of electric multiple field as well when we compare the conclusion with the general solution from Laplace’s Equation solved by separation of variables.