An algorithm for the calculation of the partial wave expansion of the Coulomb-distorted plane wave

作者：Hornyak I; Kruppa A T^*

来源：Computer Physics Communications, 2015, 197: 291-297.

DOI：10.1016/j.cpc.2015.08.018

• Coulomb
• Plane wave
• Coulomb-distorted plane wave
• Hypergeometric function
• FORTRAN

The partial wave expansion of the Coulomb-distorted plane wave is determined by the help of the complex generalized hypergeometric function 2F(2)(a, a; a + l + 1, a - l; z). An algorithm for the calculation of 2F(2)(a, a; a + l + 1, a - l; z) is created and it is implemented as a FORTRAN-90 code. The code is fast and its accuracy is 14 significant decimal digits.
Program summary
Program title: Hyp2F2spec_v1
Catalogue identifier: AEXR_v1_0
Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AEXR_v1_0.html
Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland
Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html
No. of lines in distributed program, including test data, etc.: 1067
No. of bytes in distributed program, including test data, etc.: 8394
Distribution format: tar.gz Programming language: FORTRAN-90.
Computer: x86-64.
Operating system: LINUX, MAC OS X, Windows.
RAM: < 1 MB Classification: 4.7.
Nature of problem: The partial wave expansion of the Coulomb distorted plane wave is given by a generalized hypergeometric function with special indexes. An algorithm is developed for the calculation of this function.
Solution method: Taylor-series and asymptotic expansion in both cases estimates for the remainder terms are determined. Explicit expression is also used.
Running time: Less than 0.

• 出版日期2015-12