Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/84299
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dc.contributor.authorAlberto, P.-
dc.contributor.authorFrederico, T.-
dc.contributor.authorMalheiro, M.-
dc.contributor.authorCastro, A. de-
dc.date.accessioned2019-01-22T15:26:28Z-
dc.date.available2019-01-22T15:26:28Z-
dc.date.issued2015-12-08-
dc.identifier.citationTY - JOUR PB - American Physical Society ID - 10.1103/PhysRevA.92.062137 DO - 10.1103/PhysRevA.92.062137 TI - General spin and pseudospin symmetries of the Dirac equation PY - 2015/12/31/ UR - https://link.aps.org/doi/10.1103/PhysRevA.92.062137 JF - Physical Review A JA - Phys. Rev. A J1 - PRA VL - 92 IS - 6 SP - 062137 EP - A1 - Alberto, P. AU - Malheiro, M. AU - Frederico, T. AU - de Castro, A. ER -pt
dc.identifier.urihttps://hdl.handle.net/10316/84299-
dc.description.abstractIn the 70's Smith and Tassie, and Bell and Ruegg 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 has been revealed by Ginocchio 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 Schr\"odinger-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 second-order equation 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 2- and 1-dimensional potentials. An application for a particular physical system in two dimensions, electrons in graphene, is suggested.pt
dc.language.isoengpt
dc.rightsopenAccesspt
dc.subjectQuantum Physicspt
dc.subjectQuantum Physicspt
dc.subjectPhysics - Strongly Correlated Electronspt
dc.subjectNuclear Theorypt
dc.titleGeneral spin and pseudospin symmetries of the Dirac equationpt
dc.typearticlept
degois.publication.firstPage062137-1pt
degois.publication.lastPage062137-4pt
degois.publication.issue6pt
degois.publication.titlePhysical Review Apt
dc.relation.publisherversionhttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.062137pt
dc.peerreviewedyespt
dc.identifier.doi10.1103/PhysRevA.92.062137-
degois.publication.volume92pt
dc.date.embargo2015-12-08*
dc.date.periodoembargo0pt
dc.identifier.urlhttp://arxiv.org/abs/1512.02552v1-
item.openairetypearticle-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.fulltextCom Texto completo-
Appears in Collections:I&D CFis - Artigos em Revistas Internacionais
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