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dc.contributor.authorPizzichillo, F.
dc.contributor.authorVan Den Bosch, H.
dc.date.accessioned2022-03-14T14:24:59Z
dc.date.available2022-03-14T14:24:59Z
dc.date.issued2021-01-01
dc.identifier.issn1664039X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1450
dc.description.abstractWe investigate the self-adjointness of the two-dimensional Dirac operator D, with quantum-dot and Lorentz-scalar i-shell boundary conditions, on piecewise C2 domains (with finitely many corners). For both models, we prove the existence of a unique self-adjoint realization whose domain is included in the Sobolev space H1=2, the formal form domain of the free Dirac operator. The main part of our paper consists of a description of the domain of the adjoint operator D in terms of the domain of D and the set of harmonic functions that verify some mixed boundary conditions. Then, we give a detailed study of the problem on an infinite sector, where explicit computations can be made: we find the self-adjoint extensions for this case. The result is then translated to general domains by a coordinate transformation.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectBoundary conditionsen_US
dc.subjectConformal mapen_US
dc.subjectCorner domainsen_US
dc.subjectDirac operatoren_US
dc.subjectLorentz-scalar i-shellen_US
dc.subjectQuantum-doten_US
dc.subjectSelfadjoint operatoren_US
dc.titleSelf-adjointness of two-dimensional Dirac operators on corner domainsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.4171/JST/365en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/669689en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersionen_US
dc.journal.titleJournal of Spectral Theoryen_US
dc.volume.number11en_US
dc.issue.number3en_US


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