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.
|Journal de l'Ecole Polytechnique - Mathematiques
|Number of pages
|Published - 2023
© 2023 Ecole Polytechnique. All rights reserved.
- discontinuous magnetic field, Magnetic Laplacian, semiclassical analysis, spectrum
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