USE OF BINOMIAL COEFFICIENTS IN FAST AND ACCURATE CALCULATION OF CLEBSCH-GORDAN AND GAUNT COEFFICIENTS, AND WIGNER n-j SYMBOLS

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dc.contributor.authorGuseinov, Israfil Isa
dc.contributor.authorMamedov, B. A.
dc.contributor.authorCoproglu, E.
dc.date.accessioned2025-01-27T20:58:15Z
dc.date.available2025-01-27T20:58:15Z
dc.date.issued2009
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractUsing binomial coefficients, the new simple and efficient algorithms for the accurate and fast calculation of the Clebsch-Gordan and Gaunt coefficients, and Wigner n - j symbols for n = 3, 6, 9 are presented. For quick calculations, the binomial coefficients are stored in the memory of the computer. It is demonstrated that the use of binomial coefficients greatly reduces the CPU time. The numerical results presented are in complete agreement with those obtained in the alternative evaluation procedure. The method suggested is completely general and free of any restrictions.
dc.description.sponsorshipTUBITAK
dc.description.sponsorshipOne of the authors, E. Copuroglu thanks TUBITAK for financial support.
dc.identifier.doi10.1142/S0219633609004782
dc.identifier.endpage259
dc.identifier.issn0219-6336
dc.identifier.issue2
dc.identifier.scopus2-s2.0-67549132236
dc.identifier.scopusqualityN/A
dc.identifier.startpage251
dc.identifier.urihttps://doi.org/10.1142/S0219633609004782
dc.identifier.urihttps://hdl.handle.net/20.500.12428/26654
dc.identifier.volume8
dc.identifier.wosWOS:000265803200005
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofJournal of Theoretical & Computational Chemistry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectClebsch-Gordan coefficients
dc.subjectGaunt coefficients
dc.subjectWigner n - j symbols
dc.subjectSlater type orbitals
dc.subjectGaussian type orbitals
dc.titleUSE OF BINOMIAL COEFFICIENTS IN FAST AND ACCURATE CALCULATION OF CLEBSCH-GORDAN AND GAUNT COEFFICIENTS, AND WIGNER n-j SYMBOLS
dc.typeArticle

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