Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

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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_0Distribution 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. |

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