CP methods and the evaluation of negative energy Coulomb Whittaker functions

Authors:
V. Ledoux;M. Van Daele;G. Vanden Berghe
Affiliations:
Applied Mathematics and Computer Science, Vakgroep Toegepaste Wiskunde en Informatica, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium;Applied Mathematics and Computer Science, Vakgroep Toegepaste Wiskunde en Informatica, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium;Applied Mathematics and Computer Science, Vakgroep Toegepaste Wiskunde en Informatica, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

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Abstract

The CP (constant reference potential perturbation) methods are specialized methods for the solution of Schrodinger equations. They allow big step sizes and are well suited for oscillatory problems. As an illustration of the power of these methods, oscillating Whittaker functions of the second kind are obtained with high accuracy, using a high-order CP-method.