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Zbl 1007.81020
Seaton, M.J.
Coulomb functions for attractive and repulsive potentials and for positive and negative energies. (English)
[J] Comput. Phys. Commun. 146, No.2, 225-249 (2002). ISSN 0010-4655

Summary: The paper gives a review of the mathematical properties of the Coulomb radial wave functions, for attractive and repulsive potentials and for positive and negative energies, together with recommendations on best methods for their computation. It includes discussions of analytic continuations (complex energies, radial co-ordinates and angular momenta) and of relativistic Coulomb functions.

MSC 2000:: *81Q05 Closed and approximate solutions to quantum-mechanical equations
81-08 Computational methods (quantum theory)

Keywords: attractive and repulsive potentials; positive and negative energies; analytic continuations; relativistic Coulomb functions

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