Remarks on the Green's Functions for the Cubic Lattices.

摘要

A simpler way of finding the Green's function G(2p, 0, 0) for the body-centered and face-centered cubic lattices as the square and product, respectively, of the pth derivatives of two complete elliptic integrals of the first kind is pointed out. The key relations required for these results are the Clausen's and Brafman's formulas for the body-centered and face-centered cubic lattices, respectively. (Author)