Publications

Abstract

The Lanczos method, well known in linear algebra, is applied to solving Lippmann-Schwinger equation describing scattering of non-relativistic particles with atoms and molecules. It is shown that a combination of the Lanczos technique with an appropriate contracting coordinate transformation and Romberg extrapolation generates a very efficient and accurate method for calculation of various scattering quantities with a very sparse grid. The method yields accurate results for a very low number of meshpoints (typically few tens in electron atom scattering calculation). Detailed test calculations were performed for scattering of electrons with hydrogen atoms and for dissociative attachment of electrons to diatomic molecules.