USE OF BINOMIAL COEFFICIENTS IN FAST AND ACCURATE CALCULATION OF CLEBSCH–GORDAN AND GAUNT COEFFICIENTS, AND WIGNER n - j SYMBOLS
  
Yazarlar (3)
I. I. Guseinov Çanakkale Onsekiz Mart Üniversitesi, Türkiye
Bahtiyar Mehmetoğlu
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Prof. Dr. Ebru ÇOPUROĞLU Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Theoretical and Computational Chemistry (Q4)
Dergi ISSN 0219-6336
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 04-2009
Cilt / Sayı / Sayfa 8 / 2 / 251–259 DOI 10.1142/S0219633609004782
Makale Linki http://www.worldscientific.com/doi/abs/10.1142/S0219633609004782
Özet
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.
Anahtar Kelimeler
Clebsch-Gordan coefficients | Gaunt coefficients | Gaussian type orbitals | Slater type orbitals | Wigner n - j symbols