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

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• 作者：I. Hornyak^a ; ^b ; A.T. Kruppa^a ; ^{kruppa.andras@atomki.mta.hu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Coulomb ; Plane wave ; Coulomb-distorted plane wave ; Hypergeometric function ; FORTRAN
• 刊名：Computer Physics Communications
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：197
• 期：Complete
• 页码：291-297
• 全文大小：434 K

文摘

The partial wave expansion of the Coulomb-distorted plane wave is determined by the help of the complex generalized hypergeometric function method=retrieve&_eid=1-s2.0-S0010465515003045&_mathId=si11.gif&_user=111111111&_pii=S0010465515003045&_rdoc=1&_issn=00104655&md5=fa5f527ee55bd019453210b72d687dea" title="Click to view the MathML source">₂F₂(a,a;a+l+1,a−l;z)${}_2{F}_2(a,a;a+l+1,a-l;z)$. An algorithm for the calculation of method=retrieve&_eid=1-s2.0-S0010465515003045&_mathId=si11.gif&_user=111111111&_pii=S0010465515003045&_rdoc=1&_issn=00104655&md5=fa5f527ee55bd019453210b72d687dea" title="Click to view the MathML source">₂F₂(a,a;a+l+1,a−l;z)${}_2{F}_2(a,a;a+l+1,a-l;z)$ 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:  method=retrieve&_eid=1-s2.0-S0010465515003045&_mathId=si13.gif&_user=111111111&_pii=S0010465515003045&_rdoc=1&_issn=00104655&md5=44bd03dc6ed900fc0c41edf806648e7c" title="Click to view the MathML source"><1$<1$ 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 0.01 s