Abstract
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.
Original language | English |
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Journal | Journal de l'Ecole Polytechnique - Mathematiques |
Volume | 10 |
Pages (from-to) | 917-944 |
Number of pages | 28 |
ISSN | 2429-7100 |
DOIs | |
Publication status | Published - 2023 |
Bibliographical note
Publisher Copyright:© 2023 Ecole Polytechnique. All rights reserved.
Keywords
- discontinuous magnetic field
- Magnetic Laplacian
- semiclassical analysis
- spectrum