Neumann-Type Expansion of Coulomb Functions

P. Marksteiner, E. Badralexe, Arthur J Freeman

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

An expansion is derived for the regular (power series) part of the Coulomb function, G0(η, ρ), in terms of Whittaker functions, which are closely related to the regular Coulomb functions F1 (η, ρ). The expansion coefficients are given as a sum of three terms; each of the terms obeys a simple three-term recurrence relation. In conjunction with the downward recurrence method for the regular functions (which is also discussed), this expansion is very useful for computing the irregular Coulomb functions G1(η, ρ), in particular for an attractive potential (η <0) and for small or moderately large values of ρ.

Original languageEnglish
Pages (from-to)49-52
Number of pages4
JournalJournal of Computational Physics
Volume111
Issue number1
DOIs
Publication statusPublished - Mar 1994

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expansion
Whittaker functions
power series
coefficients

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

Neumann-Type Expansion of Coulomb Functions. / Marksteiner, P.; Badralexe, E.; Freeman, Arthur J.

In: Journal of Computational Physics, Vol. 111, No. 1, 03.1994, p. 49-52.

Research output: Contribution to journalArticle

Marksteiner, P. ; Badralexe, E. ; Freeman, Arthur J. / Neumann-Type Expansion of Coulomb Functions. In: Journal of Computational Physics. 1994 ; Vol. 111, No. 1. pp. 49-52.
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