Magnetic Dirac operator in strips submitted to strong magnetic fields - Archive ouverte HAL
Preprints, Working Papers, ... Year : 2024

Magnetic Dirac operator in strips submitted to strong magnetic fields

Abstract

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 and 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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