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
Doç. Dr. Ebru ÇOPUROĞLU Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Journal of Theoretical and Computational Chemistry
Dergi ISSN 0219-6336
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 04-2009
Cilt No 8
Sayı 2
Sayfalar 251 / 259
DOI Numarası 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. © 2009 World Scientific Publishing Company.
Anahtar Kelimeler
Clebsch-Gordan coefficients | Gaunt coefficients | Gaussian type orbitals | Slater type orbitals | Wigner n - j symbols