Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] adyo_v1_0.tar.gz(32 Kbytes)|
|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.|
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.
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.
The examples given take a few seconds to execute.
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