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Preprints, Working Papers, ... Year : 2023

Semiclassical spectrum of the magnetic Dirac operator on an annulus

Abstract

We consider the magnetic Dirac operator with infinite mass boundary condition on an annulus and prove an explicit asymptotic expansion at the first order for the low-lying positive spectrum. An heuristic of proof is given in the last section for the case of the first negative eigenvalue.
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Dates and versions

hal-04037383 , version 1 (20-03-2023)

Identifiers

  • HAL Id : hal-04037383 , version 1

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Enguerrand Lavigne Bon. Semiclassical spectrum of the magnetic Dirac operator on an annulus. 2023. ⟨hal-04037383⟩
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