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Treatment of the Coulomb singularity in momentum space calculations

Ivanov, Igor A. and Mitroy, Jim (2001). Treatment of the Coulomb singularity in momentum space calculations. Computer Physics Communications,134(3):317-320.

Document type: Journal Article
Citation counts: Scopus Citation Count Cited 5 times in Scopus Article | Citations

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Title Treatment of the Coulomb singularity in momentum space calculations
Author Ivanov, Igor A.
Mitroy, Jim
Journal Name Computer Physics Communications
Publication Date 2001
Volume Number 134
Issue Number 3
ISSN 0010-4655   (check CDU catalogue  open catalogue search in new window)
Scopus ID 2-s2.0-0035281155
Start Page 317
End Page 320
Total Pages 4
Place of Publication Netherlands
Publisher Elsevier Science
HERDC Category C1 - Journal Article (DEST)
Abstract The evaluation of the matrix elements of the Coulomb interaction in calculations using the Lippmann-Schwinger (or related) equations is complicated by the existence of a singularity in the integrand. One method of handling this singularity is to use a procedure commonly called the Lande subtraction. A procedure is outlined which relates the subtraction integrals to formulae involving the zeros of Legendre polynomials. This is used to compute tables of subtraction integrals that can be used to improve the precision of integrations performed with the Lande subtraction. (C) 2001 Elsevier Science B.V. All rights reserved.
Keywords equations
DOI http://dx.doi.org/10.1016/S0010-4655(00)00210-1   (check subscription with CDU E-Gateway service for CDU Staff and Students  check subscription with CDU E-Gateway in new window)
 
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Created: Fri, 12 Sep 2008, 08:35:25 CST by Administrator