Magnetic Dirac operator in strips submitted to strong magnetic fields - Ecole Centrale de Marseille
Pré-Publication, Document De Travail Année : 2024

Magnetic Dirac operator in strips submitted to strong magnetic fields

Résumé

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.

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Dates et versions

hal-04691264 , version 1 (07-09-2024)

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Loïc Le Treust, Julien Royer, Nicolas Raymond. Magnetic Dirac operator in strips submitted to strong magnetic fields. 2024. ⟨hal-04691264⟩
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