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Programs in Physics & Physical Chemistry



Manuscript Title: Precise Coulomb wave functions for a wide range of complex ell, η and z.
Authors: N. Michel
Program title: cwfcomplex
Catalogue identifier: ADYO_v1_0 Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 176(2007)232
Programming language: C++.
Computer: DELL GX400.
Operating system: Linux, Windows.
Word size: 64 bits
Keywords: Coulomb, complex analysis, numerical integration, resonances, Regge poles.
PACS: 02.30.Fn, 02.30.Gp, 03.65.Ge, 23.50.+z.
Classification: 4.5.
Nature of problem: The calculation of Coulomb wave functions with all of their arguments complex is revisited. The new methods introduced allow to greatly augment the range of accessible ell, η, and z.
Solution method: Power/asymptotic series and continued fractions are supplemented with direct integrations of the Coulomb Schrödinger equation. Analytic continuation for R(z) < 0 is also precisely computed using linear combinations of the functions provided by standard methods, which do not follow the branch cut requirements demanded for Coulomb wave functions.
Running time: The examples given take a few seconds to execute.