矢量场存在矢势的充要条件

Necessary and Sufficient Condition Exist Vector Potential for Vector Field

指出某区域矢量场的散度处处为零不是该矢量场存在矢势的充要条件,从矢量场存在矢势与第二型面积分的关系,讨论矢量场存在矢势的充要条件,并给出几种矢量场存在矢势的充要条件。

First, it is pointed out that the divergence of the vector field in a certain region is not a sufficient and necessary condition for the vector field to exist in the vector field. Then, the necessary and sufficient conditions for the existence of the vector field in the vector field were discussed from the relationship between the vector potential and the second type integral. The necessary and sufficient conditions for the existence of several vector fields were gives.