On Duclos-Exner's conjecture about waveguides in strong uniform magnetic fields

2022/05/25 by Enguerrand Bon-Lavigne, Loïc Le Treust, Bon-Lavigne, Enguerrand +5 · 1 citation
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2205.12733

Abstract

We consider the Dirichlet Laplacian with uniform magnetic field on a curved strip in two dimensions. We give a sufficient condition ensuring the existence of the discrete spectrum in the strong magnetic field limit.

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