title: Iterative solution of integral equations on a basis of positive energy Sturmian functions.
abstract: An improvement of Weinberg's quasiparticle method for solving general one-dimensional integral equations is presented. The method uses simple auxiliary Sturmian functions for positive or negative energies, and corrects iteratively for the truncation errors of the Sturmian expansion of the solution. Numerical examples are given for the solution of the Lippmann-Schwinger integral equation for the scattering of a particle from a potential with a repulsive core. An accuracy of 1:10(6) is achieved after 14 iterations, and 1:10(10) after 20 iterations. The calculations are carried out in configuration space with an accuracy of 1:10(11) by using a spectral expansion method in terms of Chebyshev polynomials. The method can be extended to solving a Schrödinger equation with Coulomb and/or nonlocal potentials.
authors.affiliation: Department of Physics, University of Connecticut, Storrs, Connecticut 06269, USA.
authors.forename: George
authors.initials: G
authors.lastname: Rawitscher