Magnetic Dirac operator in strips submitted to strong magnetic fields
We consider the magnetic Dirac operator on a curved strip whose boundary carries the infinite mass boundary condition. When the magnetic field is large, we provide the reader with accurate estimates of the essential and discrete spectra. In particular, we give sufficient conditions ensuring that the discrete spectrum is non-empty.
Authors
- Loïc Le Treust
- Julien Royer (ORCID: https://orcid.org/0000-0003-0730-0244)
- Nicolas Raymond (ORCID: https://orcid.org/0009-0003-0044-9940)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Toulouse III - Paul Sabatier (FR)
- Aix-Marseille Université (FR)
- Institut Polytechnique de Bordeaux (FR)
- Université d'Angers (FR)
Publication Details
- Journal
- Journal of Spectral Theory
- Published
- 2024-12-11
- DOI
- https://doi.org/10.4171/jst/539
- Citations
- 1
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.89
Funders
- Centre Henri Lebesgue
- Agence Nationale de la Recherche
- Centre National de la Recherche Scientifique
- Centre International de Mathématiques et Informatique de Toulouse