Spectral flow of exterior Landau-Robin hamiltonians

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dc.identifier.uri http://dx.doi.org/10.15488/2353
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2379
dc.contributor.author Goffeng, M.
dc.contributor.author Schrohe, E.
dc.date.accessioned 2017-11-17T12:10:52Z
dc.date.available 2017-11-17T12:10:52Z
dc.date.issued 2017
dc.identifier.citation Goffeng, M.; Schrohe, E.: Spectral flow of exterior Landau-Robin hamiltonians. In: Journal of Spectral Theory 70 (2017), Nr. 3, S. 847-879. DOI: https://doi.org/10.4171/JST/179
dc.description.abstract We study the spectral flow of Landau-Robin hamiltonians in the exterior of a compact domain with smooth boundary. This provides a method to study the spectrum of the exterior Landau-Robin hamiltonian's dependence on the choice of Robin data, even explaining the heuristics of how the spectrum of the Robin problem asymptotically tends to the spectrum of the Dirichlet problem. The main technical result concerns the continuous dependence of Landau-Robin hamiltonians on the Robin data in the gap topology. The problem can be localized to the compact boundary where the asymptotic behavior of the spectral flow in some special cases can be described. © European Mathematical Society. eng
dc.language.iso eng
dc.publisher Zürich : European Mathematical Society Publishing House
dc.relation.ispartofseries Journal of Spectral Theory 70 (2017), Nr. 3
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject Boundary value problem eng
dc.subject Exterior problem eng
dc.subject Magnetic Schrödinger operator eng
dc.subject Spectral flow eng
dc.subject.ddc 530 | Physik ger
dc.title Spectral flow of exterior Landau-Robin hamiltonians
dc.type article
dc.type Text
dc.relation.issn 1664-039X
dc.relation.doi https://doi.org/10.4171/JST/179
dc.bibliographicCitation.issue 3
dc.bibliographicCitation.volume 70
dc.bibliographicCitation.firstPage 847
dc.bibliographicCitation.lastPage 879
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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