Theory of complete orthonormal sets of relativistic tensor wave functions and Slater tensor orbitals of particles with arbitrary spin in position, 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.abstractUsing the complete orthonormal basis sets of nonrelativistic and quasirelativistic orbitals introduced by the author in previous papers for particles with arbitrary spin the new analytical relations for the 2(2s + 1)-component relativistic tensor wave functions and Slater tensor orbitals in position, momentum and four-dimensional spaces are derived, where s = 1/2, 1, 3/2, 2, .... The relativistic tensor function sets are expressed through the corresponding non relativistic and quasirelativistic orbitals. The analytical formulas for overlap integrals over relativistic Slater tensor orbitals in position space are also derived. (C) 2009 Elsevier B.V. All rights reserved.
dc.identifier.doi10.1016/j.physleta.2009.04.025
dc.identifier.endpage2181
dc.identifier.issn0375-9601
dc.identifier.issue25
dc.identifier.scopus2-s2.0-67349084643
dc.identifier.scopusqualityQ2
dc.identifier.startpage2178
dc.identifier.urihttps://doi.org/10.1016/j.physleta.2009.04.025
dc.identifier.urihttps://hdl.handle.net/20.500.12428/22951
dc.identifier.volume373
dc.identifier.wosWOS:000266766700014
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Bv
dc.relation.ispartofPhysics Letters A
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectRelativistic and quasirelativistic tensor wave functions
dc.subjectRelativistic and quasirelativistic Slater tensor orbitals
dc.subjectNonrelativistic scalar orbitals
dc.subjectOverlap integrals
dc.titleTheory of complete orthonormal sets of relativistic tensor wave functions and Slater tensor orbitals of particles with arbitrary spin in position, momentum and four-dimensional spaces
dc.typeArticle

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