Expansion formulae for two-center charge densities of integer and noninteger \(n\) generalized exponential type orbitals applied to evaluation of multicenter multielectron integrals

DOI10.1007/s10910-009-9578-5zbMath1293.81045OpenAlexW2069465203MaRDI QIDQ848164

I. I. Guseinov

Publication date: 2 March 2010

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-009-9578-5

zbMATH Keywords

charge densitiesgeneralized exponential functionsmulticenter multielectron integrals\(\Psi ^{\alpha}\)-exponential type orbitals

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Molecular physics (81V55) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (2)

Expansion formulae for two-center charge densities of integer and noninteger \(n\) generalized exponential type orbitals with hyperbolic cosine and their use in evaluation of multicenter multielectron integrals ⋮ On the mathematical nature of Guseinov's rearranged one-range addition theorems for Slater-type functions

Cites Work

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• Unified treatment of complete orthonormal sets of functions in coordinate, momentum and four-dimensional spaces and their expansion and one-range addition theorems
• Use of Cartesian coordinates in evaluation of multicenter multielectron integrals over Slater type orbitals and their derivatives
• On the unified treatment of complete orthonormal sets of functions in coordinate, momentum, and four dimensional spaces and their expansion and one-range addition theorems
• Expansion formulae for two-center integer and noninteger \(n\) STO charge densities and their use in evaluation of multi-center integrals

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