Dirac Oscillator in a Galilean Covariant Non-commutative Space

dc.creatorMelo, Genilson Ribeiro de
dc.creatorMontigny, M. de
dc.creatorPompeia, P. J.
dc.creatorSantos, E. S.
dc.creatorMelo, Genilson Ribeiro de
dc.creatorMontigny, M. de
dc.creatorPompeia, P. J.
dc.creatorSantos, E. S.
dc.date.accessioned2013-09-12T17:06:02Z
dc.date.accessioned2022-10-07T17:53:08Z
dc.date.available2013-09-12T17:06:02Z
dc.date.available2022-10-07T17:53:08Z
dc.date.created2013-09-12T17:06:02Z
dc.date.issued2013
dc.identifier0020-7748
dc.identifierhttp://www.repositorio.ufba.br/ri/handle/ri/12924
dc.identifierv. 52, n. 2
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/4010677
dc.description.abstractWe study the Galilean Dirac oscillator in a non-commutative situation, with space-space and momentum-momentum non-commutativity. The wave equation is obtained via a ‘Galilean covariant’ approach, which consists in projecting the covariant equations from a (4, 1)-dimensional manifold with light-cone coordinates, to a (3, 1)-dimensional Galilean space-time. We obtain the exact wave functions and their energy levels for the plane and discuss the effects of non-commutativity.
dc.languageen
dc.publisherInternational Journal of Theoretical Physics
dc.source10.1007/s10773-012-1350-0
dc.subjectNon-commutative geometry
dc.subjectGalilean covariance
dc.subjectDirac equation
dc.titleDirac Oscillator in a Galilean Covariant Non-commutative Space
dc.typeArtigo Publicado em Periódico


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