Asymptotic behavior of Clebsch-Gordan coefficients
JOURNAL OF MATHEMATICAL CHEMISTRY, sa.10, ss.2761-2775, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2024
- Doi Numarası: 10.1007/s10910-023-01544-x
- Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, zbMATH
- Sayfa Sayıları: ss.2761-2775
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
In this study, the Clebsch-Gordan coefficients are expressed using the generalized hypergeometric functions of unit argument and binomial coefficients, and their behavior as a function of quantum numbers is examined. The Clebsch-Gordan coefficients are also numerically computed for integer and non-integer quantum numbers. Subsequently, the convergence between the Clebsch-Gordan and asymptotic Clebsch-Gordan coefficients is investigated based on the orbital angular momentum quantum numbers.