Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 847-879 |
| Seitenumfang | 33 |
| Fachzeitschrift | Journal of spectral theory |
| Jahrgang | 70 |
| Ausgabenummer | 3 |
| Publikationsstatus | Veröffentlicht - 28 Sept. 2017 |
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.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Statistische und nichtlineare Physik
- Mathematik (insg.)
- Mathematische Physik
- Mathematik (insg.)
- Geometrie und Topologie
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in: Journal of spectral theory, Jahrgang 70, Nr. 3, 28.09.2017, S. 847-879.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Spectral flow of exterior Landau-Robin hamiltonians
AU - Goffeng, Magnus
AU - Schrohe, Elmar
N1 - Publisher Copyright: © European Mathematical Society. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/9/28
Y1 - 2017/9/28
N2 - 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.
AB - 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.
KW - Boundary value problem
KW - Exterior problem
KW - Magnetic Schrödinger operator
KW - Spectral flow
UR - http://www.scopus.com/inward/record.url?scp=85030847733&partnerID=8YFLogxK
U2 - 10.4171/JST/179
DO - 10.4171/JST/179
M3 - Article
AN - SCOPUS:85030847733
VL - 70
SP - 847
EP - 879
JO - Journal of spectral theory
JF - Journal of spectral theory
SN - 1664-039X
IS - 3
ER -