Advantages of Slater-type spinor orbitals in the Dirac–Hartree–Fock method. Results for hydrogen-like atoms with super-critical nuclear charge-Reference-Cited by-同舟云学术

Advantages of Slater-type spinor orbitals in the Dirac–Hartree–Fock method. Results for hydrogen-like atoms with super-critical nuclear charge

Published:2020-05-09 Issue:2 Volume:31 Page:369-385
ISSN:2037-4631
Container-title:Rendiconti Lincei. Scienze Fisiche e Naturali
language:en
Short-container-title:Rend. Fis. Acc. Lincei

Author:

Bağcı A.

Publisher

Springer Science and Business Media LLC

Subject

General Earth and Planetary Sciences,General Agricultural and Biological Sciences,General Environmental Science

Link

https://link.springer.com/content/pdf/10.1007/s12210-020-00899-6.pdf

Reference112 articles.

1. Abramowitz M, Stegun IA (1972) Handbook of mathematical functions with formulas, graphs, and mathematical tables. Dover, New York

2. Absi N, Hoggan PE (2006) Analytical evaluation of molecular electronic integrals using Poisson’s equation: exponential$$-$$type orbitals and atom pairs. Int J Quant Chem 106(14):2881. https://doi.org/10.1002/qua.21114

3. Agmon S (1985) Bounds on exponential decay of eigenfunctions of Schrödinger operators. Lect Notes Math 1159:1. https://doi.org/10.1007/BFb0080331

4. Alhaidari AD (2010) Relativistic Coulomb problem for $$Z$$ larger than $$137$$. Int J Mod Phys A 25(18 & 19):3703. https://doi.org/10.1142/S0217751X10049402

5. Appell P (1925) Sur les fonctions hypergéométriques de plusieurs variables, les polynômes d’Hermite et autres fonctions sphériques dans l’hyperespace. Mém Sci Math (Gauthier-Villars, Paris, France, 1925)

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