New orthogonality relationships of the Gaunt coefficients
Yazarlar (3)
S. Özay
Ondokuz Mayis Üniversitesi, Türkiye
Prof. Dr. Selda AKDEMİR Sinop Üniversitesi, Türkiye
E. Öztekin
Ondokuz Mayis Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Computer Physics Communications (Q1)
Dergi ISSN 0010-4655 Dergi Bilgileri (2024)
Dergi Tarandığı Indeksler SCI
Makale Dili İngilizce Basım Tarihi 05-2024
Kabul Tarihi Yayınlanma Tarihi 01-05-2024
Cilt / Sayı / Sayfa 298 / 1 / 109118–0 DOI 10.1016/j.cpc.2024.109118
Makale Linki https://doi.org/10.1016/j.cpc.2024.109118
UAK Araştırma Alanları
Atom, Molekül ve Lazer Fiziği
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.
Anahtar Kelimeler
Clebsch Gordan coefficients | Gaunt coefficients | Generalized hypergeometric functions
Science Direct
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 2
Scopus 3
Google Scholar 4
New orthogonality relationships of the Gaunt coefficients

Paylaş