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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2023-01-01
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Series: | Forum of Mathematics, Sigma |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423000099/type/journal_article |