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

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dc.contributor.authorGuseinov, Israfil Isa
dc.date.accessioned2025-01-27T20:58:14Z
dc.date.available2025-01-27T20:58:14Z
dc.date.issued2008
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractThe new formulas have been established for the expansion and one-range addition theorems for the complete orthonormal sets of functions in coordinate, momentum, and four-dimensional spaces. These theorems enable us to derive the formulas for the overlap integrals over STOS, Psi(alpha)-ETOs, Phi(alpha)-MSOs, and Z(alpha)-HSHs which can be useful in the study of different quantum mechanical problems in both the theory and practice of calculations dealing with atoms, molecules, and solids when the coordinate, momentum or four-dimensional spaces employed. This work presents the development of our previous paper (I.I. Guseinov, J. Math. Chem., (2007) DOI: 10.1007/s10910-006-9154-1).
dc.identifier.doi10.1007/s10910-007-9239-5
dc.identifier.endpage1031
dc.identifier.issn0259-9791
dc.identifier.issue3
dc.identifier.scopus2-s2.0-43249121109
dc.identifier.scopusqualityQ2
dc.identifier.startpage1024
dc.identifier.urihttps://doi.org/10.1007/s10910-007-9239-5
dc.identifier.urihttps://hdl.handle.net/20.500.12428/26649
dc.identifier.volume43
dc.identifier.wosWOS:000254259900009
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Mathematical Chemistry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectone-range addition theorems
dc.subjectexponential-type orbitals
dc.subjectmomentum space orbitals
dc.subjecthyperspherical harmonics
dc.titleOn the unified treatment of complete orthonormal sets of functions in coordinate, momentum, and four dimensional spaces and their expansion and one-range addition theorems
dc.typeArticle

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