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

Published 25 May 2022 in math-ph, math.MP, and math.SP | (2205.12733v1)

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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