Effective operators on an attractive magnetic edge
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The semiclassical Laplacian with discontinuous magnetic field is considered in two dimensions. The magnetic field is sign changing with exactly two distinct values and is discontinuous along a smooth closed curve, thereby producing an attractive magnetic edge. Various accurate spectral asymptotics are established by means of a dimensional reduction involving a microlocal phase space localization allowing to deal with the discontinuity of the field.
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | Journal de l'Ecole Polytechnique - Mathematiques |
| Vol/bind | 10 |
| Sider (fra-til) | 917-944 |
| Antal sider | 28 |
| ISSN | 2429-7100 |
| DOI | |
| Status | Udgivet - 2023 |
Bibliografisk note
Funding Information:
S.F. was partially supported by the grant 0135-00166B from the Independent Research Fund Denmark. N.R. was partially supported by Centre Henri Lebesgue ANR-11-LABX-0020-01. Part of this work was done while S.F. and A.K. visited the Laboratoire Jean Leray at the University of Nantes and while A.K. visited the LAREMA at Angers University. They wish to thank the Fédération de Recherche de Mathématiques des Pays de Loire and the University of Nantes for supporting the visit.
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