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

DOI10.1007/s10910-007-9239-5zbMath1310.81162OpenAlexW4254730494MaRDI QIDQ937646

I. I. Guseinov

Publication date: 15 August 2008

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

Full work available at URL: https://doi.org/10.1007/s10910-007-9239-5

zbMATH Keywords

exponential-type orbitalshyperspherical harmonicsmomentum space orbitalsone-range addition theorems

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Molecular physics (81V55)

Related Items (3)

Expansion formulae for two-center charge densities of integer and noninteger \(n\) generalized exponential type orbitals applied to evaluation of multicenter multielectron integrals ⋮ On the mathematical nature of Guseinov's rearranged one-range addition theorems for Slater-type functions ⋮ Evaluation of intermolecular interaction energy using one-range addition theorems for \({\psi ^\alpha}\)-ETO and Coulomb-Yukawa like correlated interaction potentials with integer and noninteger indices

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