A spin Hamiltonian for non-relativistic electrons and their interaction with an external field

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dc.contributor.authorSantos, E. S.
dc.contributor.authorRivelino, R.
dc.contributor.authorde Montigny, M.
dc.contributor.authorde Melo, G. R. [UNESP]
dc.contributor.institutionUniversidade Federal da Bahia (UFBA)
dc.contributor.institutionUniv Alberta
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:54:40Z
dc.date.accessioned2014-05-20T14:09:58Z
dc.date.available2013-09-30T18:54:40Z
dc.date.available2014-05-20T14:09:58Z
dc.date.issued2010-08-20
dc.description.abstractWe investigate the spin of the electron in a non-relativistic context by using the Galilean covariant Pauli-Dirac equation. From a non-relativistic Lagrangian density, we find an appropriate Dirac-like Hamiltonian in the momentum representation, which includes the spin operator in the Galilean covariant framework. Within this formalism, we show that the total angular momentum appears as a constant of motion. Additionally, we propose a non-minimal coupling that describes the Galilean interaction between an electron and the electromagnetic field. Thereby, we obtain, in a natural way, the Hamiltonian including all the essential interaction terms for the electron in a general vector field.en
dc.description.affiliationUniversidade Federal da Bahia (UFBA), Inst Fis, BR-40210340 Salvador, BA, Brazil
dc.description.affiliationUniv Alberta, Inst Theoret Phys, Edmonton, AB T6G 2J1, Canada
dc.description.affiliationUniv Alberta, Fac St Jean, Edmonton, AB T6C 4G9, Canada
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, BR-01140070 São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, BR-01140070 São Paulo, Brazil
dc.format.extent10
dc.identifierhttp://dx.doi.org/10.1088/1751-8113/43/33/335304
dc.identifier.citationJournal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 43, n. 33, p. 10, 2010.
dc.identifier.doi10.1088/1751-8113/43/33/335304
dc.identifier.issn1751-8113
dc.identifier.urihttp://hdl.handle.net/11449/24235
dc.identifier.wosWOS:000280513200015
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofJournal of Physics A: Mathematical and Theoretical
dc.relation.ispartofjcr1.963
dc.relation.ispartofsjr0,843
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleA spin Hamiltonian for non-relativistic electrons and their interaction with an external fielden
dc.typeArtigo
dcterms.licensehttp://iopscience.iop.org/info/page/openaccess
dcterms.rightsHolderIop Publishing Ltd
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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