Dirac equation in magnetic-solenoid field

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dc.contributor.authorGavrilov, S. P. [UNESP]
dc.contributor.authorGitman, D. M.
dc.contributor.authorSmirnov, A. A.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2014-05-20T15:29:48Z
dc.date.available2014-05-20T15:29:48Z
dc.date.issued2004-07-01
dc.description.abstractWe consider the Dirac equation in the magnetic-solenoid field (the field of a solenoid and a collinear uniform magnetic field). For the case of Aharonov-Bohm solenoid, we construct self-adjoint extensions of the Dirac Hamiltonian using von Neumann's theory of deficiency indices. We find self-adjoint extensions of the Dirac Hamiltonian and boundary conditions at the AB solenoid. Besides, for the first time, solutions of the Dirac equation in the magnetic-solenoid field with a finite radius solenoid were found. We study the structure of these solutions and their dependence on the behavior of the magnetic field inside the solenoid. Then we exploit the latter solutions to specify boundary conditions for the magnetic-solenoid field with Aharonov-Bohm solenoid.en
dc.description.affiliationUniv Estadual Paulista, Dept Quim & Fis, São Paulo, Brazil
dc.description.affiliationUniv São Paulo, Inst Fis, BR-05315970 São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Quim & Fis, São Paulo, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdFAPESP: 02/11321-8
dc.format.extentS119-S142
dc.identifierhttp://dx.doi.org/10.1140/epjcd/s2003-01-009-1
dc.identifier.citationEuropean Physical Journal C. New York: Springer, v. 32, p. S119-S142, 2004.
dc.identifier.doi10.1140/epjcd/s2003-01-009-1
dc.identifier.issn1434-6044
dc.identifier.urihttp://hdl.handle.net/11449/39295
dc.identifier.wosWOS:000207562800004
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofEuropean Physical Journal C
dc.relation.ispartofjcr5.172
dc.relation.ispartofsjr2,022
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleDirac equation in magnetic-solenoid fielden
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.author.orcid0000-0002-0350-3012[1]

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