arXiv
Open Access
2023
Inequalities for exchange Slater integrals
Jean-Christophe Pain
Abstrak
The variations of exchange Slater integrals with respect to their order $k$ are not well known. While direct Slater integrals $F^k$ are positive and decreasing when the order increases, this is not stricto sensu the case for exchange integrals $G^k$. However, two inequalities were published by Racah in his seminal article "Theory of complex spectra. II". In this article, we show that the technique used by Racah can be generalized, albeit with cumbersome calculations, to derive further relations, and provide two of them, involving respectively three and four exchange integrals. Such relations can prove useful to detect regularities in complex atomic spectra and classify energy levels.
Topik & Kata Kunci
Penulis (1)
J
Jean-Christophe Pain
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2023
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓