dc.identifier.uri |
http://dx.doi.org/10.15488/2353 |
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dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2379 |
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dc.contributor.author |
Goffeng, M.
|
|
dc.contributor.author |
Schrohe, E.
|
|
dc.date.accessioned |
2017-11-17T12:10:52Z |
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dc.date.available |
2017-11-17T12:10:52Z |
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dc.date.issued |
2017 |
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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 |
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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 |
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dc.publisher |
Zürich : European Mathematical Society Publishing House |
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dc.relation.ispartofseries |
Journal of Spectral Theory 70 (2017), Nr. 3 |
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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. |
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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 |
eng |
dc.type |
Article |
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dc.type |
Text |
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dc.relation.issn |
1664-039X |
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dc.relation.doi |
https://doi.org/10.4171/JST/179 |
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dc.bibliographicCitation.issue |
3 |
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dc.bibliographicCitation.volume |
70 |
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dc.bibliographicCitation.firstPage |
847 |
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dc.bibliographicCitation.lastPage |
879 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|