Theory of complete orthonormal relativistic vector wave function sets and Slater type relativistic vector orbitals in coordinate, momentum and four-dimensional spaces

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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.issued2009
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractThe new analytical relations for the relativistic vector wave functions and Slater type relativistic vector orbitals in coordinate, momentum and four-dimensional spaces are derived using the properties of quasirelativistic vector spherical harmonics introduced by the author in previous paper (I. I. Guseinov, J. Math. Chem., 44, 197 (2008)) and complete orthonormal scalar basis sets of nonrelativistic psi(alpha)-exponential type orbitals (psi(alpha)-ETO), phi(alpha)-momentum space orbitals (phi(alpha)-MSO) and z(alpha)-hyperspherical harmonics (z(alpha)-HSH). The 6-component relativistic vector wave functions obtained are complete without the inclusion of the continuum. The relativistic vector wave function sets and Slater type relativistic vector orbitals are expressed through the corresponding quasirelativistic vector wave functions and Slater vector orbitals, respectively. The analytical formulas are also derived for overlap integrals over Slater type relativistic vector orbitals with the same screening constants in coordinate space.
dc.identifier.doi10.1007/s10910-008-9434-z
dc.identifier.endpage952
dc.identifier.issn0259-9791
dc.identifier.issue4
dc.identifier.scopus2-s2.0-63049110753
dc.identifier.scopusqualityQ2
dc.identifier.startpage946
dc.identifier.urihttps://doi.org/10.1007/s10910-008-9434-z
dc.identifier.urihttps://hdl.handle.net/20.500.12428/22950
dc.identifier.volume45
dc.identifier.wosWOS:000264527700007
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.subjectVector spherical harmonics
dc.subjectSlater type vector orbitals
dc.subjectOverlap integrals
dc.titleTheory of complete orthonormal relativistic vector wave function sets and Slater type relativistic vector orbitals in coordinate, momentum and four-dimensional spaces
dc.typeArticle

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