Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian
We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in ℝ2𝑑, 𝑑≥1. The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We give asymptotic formulas for the rate of accumulation of eigenvalues in t...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2009/873704 |
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| _version_ | 1832567808290979840 |
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| author | Mikael Persson |
| author_facet | Mikael Persson |
| author_sort | Mikael Persson |
| collection | DOAJ |
| description | We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in
ℝ2𝑑, 𝑑≥1. The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We
give asymptotic formulas for the rate of accumulation of eigenvalues in these clusters. When the compact is a Reinhardt domain we are able to show a more precise asymptotic formula. |
| format | Article |
| id | doaj-art-89754a8a46c1423bb8ba43b864ef360d |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-89754a8a46c1423bb8ba43b864ef360d2025-02-03T01:00:30ZengWileyAdvances in Mathematical Physics1687-91201687-91392009-01-01200910.1155/2009/873704873704Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann HamiltonianMikael Persson0Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University, 412 96 Göteborg, SwedenWe study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in ℝ2𝑑, 𝑑≥1. The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We give asymptotic formulas for the rate of accumulation of eigenvalues in these clusters. When the compact is a Reinhardt domain we are able to show a more precise asymptotic formula.http://dx.doi.org/10.1155/2009/873704 |
| spellingShingle | Mikael Persson Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian Advances in Mathematical Physics |
| title | Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian |
| title_full | Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian |
| title_fullStr | Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian |
| title_full_unstemmed | Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian |
| title_short | Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian |
| title_sort | eigenvalue asymptotics of the even dimensional exterior landau neumann hamiltonian |
| url | http://dx.doi.org/10.1155/2009/873704 |
| work_keys_str_mv | AT mikaelpersson eigenvalueasymptoticsoftheevendimensionalexteriorlandauneumannhamiltonian |