Discrete spectrum of the magnetic Laplacian on perturbed half-planes
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
The existence of bound states for the magnetic Laplacian in unbounded domains can be quite challenging in the case of a homogeneous magnetic field. We provide an affirmative answer for almost flat corners and slightly curved half-planes when the total curvature of the boundary is positive.
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | Bulletin of the London Mathematical Society |
| ISSN | 0024-6093 |
| DOI | |
| Status | E-pub ahead of print - 2024 |
Bibliografisk note
Funding Information:
Part of this work was carried out while AK visited the University of Angers in February 2022. AK and NR are grateful to the support of the F\u00E9d\u00E9ration de Recherche Math\u00E9matiques des Pays de Loire and of the University of Angers. AK is partially supported by CUHKSZ, grant no. UDF01003322. SF was partially supported by the Villum Center of Excellence for the Mathematics of Quantum Theory (QMATH) with Grant No. 10059. SF was partially funded by the European Union. Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them. AK would like to thank B. Helffer for enlightening discussions.
Publisher Copyright:
© 2024 The Author(s). Bulletin of the London Mathematical Society is copyright © London Mathematical Society.
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