On Duclos–Exner's conjecture about waveguides in strong uniform magnetic fields
E Bon-Lavigne, L Le Treust, N Raymond… - Forum of Mathematics …, 2023 - cambridge.org
E Bon-Lavigne, L Le Treust, N Raymond, J Royer
Forum of Mathematics, Sigma, 2023•cambridge.orgWe 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 by Duclos and Exner.
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 by Duclos and Exner.
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 by Duclos and Exner.
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