Precise Coulomb wave functions for a wide range of complex \(\ell , \eta \) and \(z\)

DOI10.1016/j.cpc.2006.10.004zbMath1196.81030arXivphysics/0702051OpenAlexW2045612986MaRDI QIDQ710091

N. Michel

Publication date: 18 October 2010

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

Full work available at URL: https://arxiv.org/abs/physics/0702051

zbMATH Keywords

numerical integrationresonancescomplex analysisRegge poles\texttt{Coulomb}

Mathematics Subject Classification ID

Computational methods for problems pertaining to quantum theory (81-08) Software, source code, etc. for problems pertaining to quantum theory (81-04)

Related Items (6)

On starlikeness of regular Coulomb wave functions ⋮ Coulomb wave functions in momentum space ⋮ Connection formulas between Coulomb wave functions ⋮ Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions ⋮ Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl-Teller-Ginocchio potential wave functions ⋮ Complementary Romanovski-Routh polynomials, orthogonal polynomials on the unit circle, and extended Coulomb wave functions

Cites Work

• 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
• Coulomb functions for attractive and repulsive potentials and for positive and negative energies
• Anomalous Convergence of a Continued Fraction for Ratios of Kummer Functions
• Coulomb wave functions with complex values of the variable and the parameters
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