Method of continued fractions with application to atomic physics. II

Abstract

This paper presents an alternative form of the method of continued fractions proposed by the authors recently. The present form is based on a subtraction of a separable operator from an appropriate Green function and shows faster convergence than the original method. The method is again applied to the elastic scattering of the electron from the hydrogen atom. The relation to certain variational principles with functionals of a fractional form is discussed.