Coulomb functions for attractive and repulsive potentials and for positive and negative energies

DOI10.1016/S0010-4655(02)00275-8zbMath1007.81020MaRDI QIDQ1613770

M. J. Seaton

Publication date: 2 September 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

analytic continuationspositive and negative energiesattractive and repulsive potentialsrelativistic Coulomb functions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (6)

FGH, a code for the calculation of Coulomb radial wave functions from series expansions ⋮ NUMER, a code for Numerov integrations of Coulomb functions ⋮ Connection formulas between Coulomb wave functions ⋮ Precise Coulomb wave functions for a wide range of complex \(\ell , \eta \) and \(z\) ⋮ On radial Schrödinger operators with a Coulomb potential ⋮ On radial Schrödinger operators with a Coulomb potential: general boundary conditions

Uses Software

• NUMER
• FGH
• COULFG

Cites Work

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• Coulomb and Bessel functions of complex arguments and order
• Continued-fraction evaluation of Coulomb functions F//alpha(eta,x), G//alpha(eta,x) and their derivatives
• FGH, a code for the calculation of Coulomb radial wave functions from series expansions
• NUMER, a code for Numerov integrations of Coulomb functions
• Expansions of the irregular Coulomb function
• The Determination of Phases of Wave Functions
• A convenient general solution of the confluent hypergeometric equation, analytic and numerical development

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