On Duclos–Exner’s conjecture about waveguides in strong uniform magnetic fields

We consider the Dirichlet Laplacian with uniform magnetic field on a curved strip in two dimensions. We give a sufficient condition on the width and the curvature of the strip ensuring the existence of the discrete spectrum in the strong magnetic field limit, answering (negatively) a conjecture made...

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Bibliographic Details
Main Authors: Enguerrand Bon-Lavigne, Loïc Le Treust, Nicolas Raymond, Julien Royer
Format: Article
Language:English
Published: Cambridge University Press 2023-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509423000099/type/journal_article

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