General spin and pseudospin symmetries of the Dirac equation

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dc.contributor.authorAlberto, P.
dc.contributor.authorMalheiro, M.
dc.contributor.authorFrederico, T.
dc.contributor.authorDe Castro, A. [UNESP]
dc.contributor.institutionUniversity of Coimbra
dc.contributor.institutionDCTA
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-28T19:02:27Z
dc.date.available2022-04-28T19:02:27Z
dc.date.issued2015-12-31
dc.description.abstractIn the 1970s Smith and Tassie [G. B. Smith and L. J. Tassie, Ann. Phys. (NY) 65, 352 (1971)APNYA60003-491610.1016/0003-4916(71)90172-2] and Bell and Ruegg [J. S. Bell and H. Ruegg, Nucl. Phys. B 98, 151 (1975)NUPBBO0550-321310.1016/0550-3213(75)90206-0; J. S. Bell and H. Ruegg, Nucl. Phys. B 104, 546 (1976)NUPBBO0550-321310.1016/0550-3213(76)90035-3] independently found SU(2) symmetries of the Dirac equation with scalar and vector potentials. These symmetries, known as pseudospin and spin symmetries, have been extensively researched and applied to several physical systems. Twenty years after, in 1997, the pseudospin symmetry was revealed by Ginocchio [J. N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997)PRLTAO0031-900710.1103/PhysRevLett.78.436] as a relativistic symmetry of the atomic nuclei when it is described by relativistic mean-field hadronic models. The main feature of these symmetries is the suppression of the spin-orbit coupling either in the upper or lower components of the Dirac spinor, thereby turning the respective second-order equations into Schrödinger-like equations, i.e, without a matrix structure. In this paper we propose a generalization of these SU(2) symmetries for potentials in the Dirac equation with several Lorentz structures, which also allow for the suppression of the matrix structure of the second-order equation of either the upper or lower components of the Dirac spinor. We derive the general properties of those potentials and list some possible candidates, which include the usual spin-pseudospin potentials, and also two- and one-dimensional potentials. An application for a particular physical system in two dimensions, electrons in graphene, is suggested.en
dc.description.affiliationCFisUC Physics Department University of Coimbra
dc.description.affiliationInstituto Tecnológico de Aeronáutica DCTA
dc.description.affiliationDepartamento de Física e Química Universidade Estadual Paulista
dc.description.affiliationUnespDepartamento de Física e Química Universidade Estadual Paulista
dc.identifierhttp://dx.doi.org/10.1103/PhysRevA.92.062137
dc.identifier.citationPhysical Review A - Atomic, Molecular, and Optical Physics, v. 92, n. 6, 2015.
dc.identifier.doi10.1103/PhysRevA.92.062137
dc.identifier.issn1094-1622
dc.identifier.issn1050-2947
dc.identifier.scopus2-s2.0-84953297331
dc.identifier.urihttp://hdl.handle.net/11449/220531
dc.language.isoeng
dc.relation.ispartofPhysical Review A - Atomic, Molecular, and Optical Physics
dc.sourceScopus
dc.titleGeneral spin and pseudospin symmetries of the Dirac equationen
dc.typeArtigo

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