The coupling coefficients with six parameters and the generalized hypergeometric functions
Yazarlar (3)
S. Özay
Ondokuz Mayis Üniversitesi, Türkiye
Ondokuz Mayis Üniversitesi, Türkiye
Prof. Dr. Selda AKDEMİR Sinop Üniversitesi, Türkiye
E. Öztekin
Ondokuz Mayis Üniversitesi, Türkiye
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 (2025) | ||
| Dergi Tarandığı Indeksler | |||
| Makale Dili | İngilizce | Basım Tarihi | 10-2025 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-10-2025 |
| Cilt / Sayı / Sayfa | 315 / 1 / 109656–0 | DOI | 10.1016/j.cpc.2025.109656 |
| Makale Linki | https://linkinghub.elsevier.com/retrieve/pii/S0010465525001584 | ||
| UAK Araştırma Alanları |
Atom, Molekül ve Lazer Fiziği
Matematiksel Fizik
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| Özet |
| In this study, the Gaunt coefficients, Clebsch--Gordan coefficients, and the Wigner 3j and 6j symbols are expressed as the product of generalized hypergeometric functions with unit argument and a normalization coefficient. By exploiting the symmetry properties of generalized hypergeometric functions, these functions are transformed into numerically computable forms, and the normalization coefficients are fully expressed in terms of binomial coefficients. New mathematical expressions, in the form of a series of products of three Gaunt coefficients, are presented, which can be used to verify the accuracy of numerical calculations. An algorithm has been developed to compute binomial coefficients and generalized hypergeometric functions using recurrence relations, eliminating the need for factorial functions. Utilizing this algorithm and the derived analytical expressions, the Gaunt_CG_3j_and_6j Mathematica ... |
| Anahtar Kelimeler |
| 6j symbols | Clebsch-Gordan coefficients | Gaunt coefficients | Generalized hypergeometric functions | Wigner 3j symbols |
Science Direct
The coupling coefficients with six parameters and the generalized hypergeometric functions
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 2 |
| Scopus | 1 |
| Google Scholar | 2 |