Generalizing spin and pseudospin symmetries for relativistic spin 1/2 fermions

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dc.contributor.authorAlberto, P.
dc.contributor.authorMalheiro, M.
dc.contributor.authorFrederico, T.
dc.contributor.authorCastro, A. de [UNESP]
dc.contributor.authorVagenas, E. C.
dc.contributor.authorVlachos, D. S.
dc.contributor.institutionUniv Coimbra
dc.contributor.institutionInst Tecnol Aeronaut
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-11-26T17:34:48Z
dc.date.available2018-11-26T17:34:48Z
dc.date.issued2016-01-01
dc.description.abstractWe propose a generalization of pseudospin and spin symmetries, the SU(2) symmetries of Dirac equation with scalar and vector mean-field potentials originally found independently in the 70's by Smith and Tassie, and Bell and Ruegg. As relativistic symmetries, they have been extensively researched and applied to several physical systems for the last 18 years. 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 Schrodinger-like equations, i.e, without a matrix structure. In this paper we use the original formalism of Bell and Ruegg to derive general requirements for the Lorentz structures of potentials in order to have these SU(2) symmetries in the Dirac equation, again allowing for the suppression of the matrix structure of the second-order equation of either the upper or lower components of the Dirac spinor. Furthermore, we derive equivalent conditions for spin and pseudospin symmetries with 2- and 1-dimensional potentials and list some possible candidates for 3, 2, and 1 dimensions. We suggest applications for physical systems in three and two dimensions, namely electrons in graphene.en
dc.description.affiliationUniv Coimbra, Phys Dept, P-3004516 Coimbra, Portugal
dc.description.affiliationUniv Coimbra, CFisUC, P-3004516 Coimbra, Portugal
dc.description.affiliationInst Tecnol Aeronaut, DCTA, BR-12228900 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUniv Estadual Paulista, Dept Fis & Quim, BR-12516410 Guaratingueta, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Fis & Quim, BR-12516410 Guaratingueta, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 2015/26258-4
dc.format.extent5
dc.identifierhttp://dx.doi.org/10.1088/1742-6596/738/1/012033
dc.identifier.citation5th International Conference On Mathematical Modeling In Physical Sciences (ic-msquare 2016). Bristol: Iop Publishing Ltd, v. 738, 5 p., 2016.
dc.identifier.doi10.1088/1742-6596/738/1/012033
dc.identifier.fileWOS000403403900033.pdf
dc.identifier.issn1742-6588
dc.identifier.urihttp://hdl.handle.net/11449/162882
dc.identifier.wosWOS:000403403900033
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartof5th International Conference On Mathematical Modeling In Physical Sciences (ic-msquare 2016)
dc.relation.ispartofsjr0,241
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.titleGeneralizing spin and pseudospin symmetries for relativistic spin 1/2 fermionsen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://iopscience.iop.org/page/copyright
dcterms.rightsHolderIop Publishing Ltd
unesp.departmentFísica e Química - FEGpt

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Guaratinguetá - FEG - Faculdade de Engenharia e Ciências