Asymptotic behavior of Clebsch-Gordan coefficients

Akdemir S., Ozay S., Öztekin E.

JOURNAL OF MATHEMATICAL CHEMISTRY, sa.10, ss.2761-2775, 2024 (SCI-Expanded) identifier

  • 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.