Asymptotic behavior of Clebsch-Gordan coefficients

[ X ]

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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.

Açıklama

Anahtar Kelimeler

Clebsch-Gordan coefficients, Vector addition coefficients, Wigner coefficients, Classical limits of the Clebsch-Gordan coefficients, Generalized hypergeometric functions

Kaynak

Journal of Mathematical Chemistry

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

62

Sayı

10

Künye