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.accessioned2025-01-27T20:29:27Z
dc.date.available2025-01-27T20:29:27Z
dc.date.issued2007
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractThe simpler formulas are derived for the complete orthonormal sets of exponential- type orbitals, momentum space orbitals and hyperspherical harmonics and their expansion and one-range addition theorems. The continuum states are not properly included in these functions. The analytical formulas are also obtained for the overlap integrals over Psi(alpha)-ETOs, their extensions to momentum and four-dimensional spaces and STOs with the same screening constants using addition and expansion theorems derived in this paper. The complete orthonormal sets of functions and their expansion and one-range addition theorems obtained can be useful in the study of different quantum mechanical problems when the coordinate, momentum or four-dimensional spaces employed.
dc.identifier.doi10.1007/s10910-006-9154-1
dc.identifier.endpage1001
dc.identifier.issn0259-9791
dc.identifier.issn1572-8897
dc.identifier.issue4
dc.identifier.scopus2-s2.0-38149089597
dc.identifier.scopusqualityQ2
dc.identifier.startpage991
dc.identifier.urihttps://doi.org/10.1007/s10910-006-9154-1
dc.identifier.urihttps://hdl.handle.net/20.500.12428/22949
dc.identifier.volume42
dc.identifier.wosWOS:000249808900020
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.subjectexponential-type orbitals
dc.subjectmomentum space orbitals
dc.subjecthyperspherical harmonics
dc.subjectone-range addition theorems
dc.titleUnified 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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