Towards Generalization of Ewald Sum

抄録

A procedure is discussed concerning numerical lattice sums of quantities characterized by inverse power law and modulation wave vector. A relatively simple formula for the sum is derived for odd-dimensional lattice but for arbitrary power, modulation wave vector as well as lattice structure, which includes the sum of such as the Ruderman-Kittel-Kasuya-Yosida and the Friedel interactions as one of the special cases.