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dc.contributor.authorMas Blesa, Albert
dc.date.accessioned2017-05-19T13:46:03Z
dc.date.available2017-05-19T13:46:03Z
dc.date.issued2017-02-01
dc.identifier.citationMas, A. Dirac operators, shell interactions, and discontinuous gauge functions across the boundary. "Journal of mathematical physics", 1 Febrer 2017, vol. 58, p. 2-15.
dc.identifier.issn0022-2488
dc.identifier.urihttp://hdl.handle.net/2117/104656
dc.description.abstractGiven a bounded smooth domain Ω ⊂ R3, we explore the relation between couplings of the free Dirac operator −iα · ∇ + mβ with pure electrostatic shell potentials λδ∂Ω (λ ∈ R) and some perturbations of those potentials given by the normal vector field N on the shell ∂Ω, namely, {λe + λn(α · N)}δ∂Ω (λe, λn ∈ R). Under the appropriate change of parameters, the couplings with perturbed and unperturbed electrostatic shell potentials yield unitarily equivalent self-adjoint operators. The proof relies on the construction of an explicit family of unitary operators that is well adapted to the study of shell interactions and fits within the framework of gauge theory. A generalization of such unitary operators also allows us to deal with the self-adjointness of couplings of −iα · ∇ + mβ with some shell potentials of magnetic type, namely, λ(α · N)δ∂Ω with λ ∈ C1(∂Ω).
dc.format.extent14 p.
dc.language.isoeng
dc.rights.uriCap
dc.subject.lcshDirac equation
dc.subject.lcshDifferential equations, Partial
dc.titleDirac operators, shell interactions, and discontinuous gauge functions across the boundary
dc.typeArticle
dc.subject.lemacEquació de Dirac
dc.subject.lemacEquacions diferencials parcials
dc.contributor.groupUniversitat Politècnica de Catalunya. EDP - Equacions en Derivades Parcials i Aplicacions
dc.identifier.doi10.1063/1.4974359
dc.description.peerreviewedPeer Reviewed
dc.subject.ams81Q10
dc.subject.ams35Q40
dc.relation.publisherversionhttp://aip.scitation.org/doi/10.1063/1.4974359
dc.rights.accessOpen Access
drac.iddocument19766736
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorMas, A.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameJournal of mathematical physics
upcommons.citation.volume58
upcommons.citation.startingPage2
upcommons.citation.endingPage15
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