关于格林函数对称性的几点讨论

Discussion about the Symmetry of Green Function

格林函数方法是求解偏微分方程重要而且有效的积分方法之一.用格林函数表述的物理点源场的势叠加,其形式简洁、物理意义明确.但是,一直以来,在推导格林公式时,有几个值得商榷的逻辑问题不是被回避了就是做了人为的说明,其中格林函数对称性问题一直未能在数学和物理学的统一层面上给予合理的、逻辑的解释.

The one of effective method to resolve the partial differential equations is Green function which has concise form and clear physical meaning especially in field of the point source .However ,there are some problems which have been avoided in process to infer the Green expression . And there is no reasonable and logical explanation to the problems of sym metry of Green function in physics and mathematics .