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


Guseinov I. I. , Mamedov B. A. , Coproglu E.

JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY, vol.8, no.2, pp.251-259, 2009 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.1142/s0219633609004782
  • Journal Name: JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.251-259

Abstract

Using 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.