B-splines approach of the Sturmian basis: Atomic and scattering calculations

Abstract

We test a new methodology to obtain a Sturmian basis set using B-spline expansion of arbitrary order and imposing the correct boundary conditions for both negative and positive energy domains. The Sturmians can be applied to solve both atomic systems, which are transformed into an eigenvalue problem, and scattering processes, which leads to a complex system of linear equations. We show how our methodology converges rapidly and give accurate results compared with other techniques.