Unified treatment of basis sets of relativistic exponential-type spinor orbitals for particles with arbitrary half-integral spin in position, momentum and four-dimensional spaces

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dc.contributor.authorGuseinov, Israfil Isa
dc.date.accessioned2025-01-27T20:22:32Z
dc.date.available2025-01-27T20:22:32Z
dc.date.issued2012
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractNew formulae for the 2(2s + 1)-component relativistic basis spinors useful for the quantum mechanical description of the arbitrary half-integral spin particles by the generalized Dirac equation introduced by the author are established in position, momentum and four-dimensional spaces, where s = 1/2, 3/2, 5/2, . . . . These spinors are reduced to independent sets of two-component spinors. The relations presented in this study can be useful in the linear combination of atomic orbital approximation for the solution of different problems arising in relativistic quantum mechanics when orthonormal basis sets of relativistic exponential-type spinor wave functions and Slater-type spinor orbitals in position, momentum and four-dimensional spaces are employed.
dc.identifier.doi10.1088/0031-8949/86/05/055005
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue5
dc.identifier.scopus2-s2.0-84868227602
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1088/0031-8949/86/05/055005
dc.identifier.urihttps://hdl.handle.net/20.500.12428/21934
dc.identifier.volume86
dc.identifier.wosWOS:000310910000006
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofPhysica Scripta
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectComplete Orthonormal Sets
dc.subjectWave-Equations
dc.subjectCoordinate
dc.titleUnified treatment of basis sets of relativistic exponential-type spinor orbitals for particles with arbitrary half-integral spin in position, momentum and four-dimensional spaces
dc.typeArticle

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