New orthogonality relationships of the Gaunt coefficients
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A new analytical formula for the Gaunt coefficients is derived using expressions of Clebsch Gordan coefficients in terms of the generalized hypergeometric functions of unit argument and binomial coefficients. In addition, new sum expressions and orthogonality relations containing the Gaunt coefficients are written. These expressions are used to test the accuracy of the numerical calculation for the Gaunt coefficients. These formulae are coded in the Mathematica programming language, and the Gaunt coefficients are calculated numerically and compared with the values from the literature.
Açıklama
Anahtar Kelimeler
Gaunt coefficients, Generalized hypergeometric functions, Clebsch Gordan coefficients
Kaynak
Computer Physics Communications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
298
