Schrödinger equation with Yukawa potential, a differential equation with two singular points

Publisher Website
Google Scholar
Abstract
The Schrödinger radial equaion with Yukawa potential is treated analytically be means of a double contour integral representation for the solution. Standard solutions are defined relative to each of the singular points of the differential equaion. Convergent expressions are obtained for the connection coefficients which occur in the linear relations persisting between any three of the standard solutions. These expressions are double series the terms of which are hypergeometric functions multiplied by factors which can be calculated recursively. As an application, the expression for the S matrix, which is simply related to the connection coefficients, is considered with regard to its convergence properties.

This publication has 3 references indexed in Scilit: