ABSTRACT

The most striking property of Green's function is the reciprocity between the position of the unit charge and the point at which the potential is evaluated. Once we have Green's function, the solution for any charge distribution in a given dielectric arrangement is a matter of integration. A first derivation of this follows from a consideration of the energy of the system. But, its importance for us here is in its emphasis that the potential function, and thereby Green's function, is uniquely determined by a knowledge of the energy for an arbitrary charge distribution.