On Duclos-Exner's conjecture about waveguides in strong uniform magnetic fields
Mathematical Physics
2022-05-26 v1 math.MP
Spectral Theory
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.
Keywords
Cite
@article{arxiv.2205.12733,
title = {On Duclos-Exner's conjecture about waveguides in strong uniform magnetic fields},
author = {Enguerrand Bon-Lavigne and Loïc Le Treust and Nicolas Raymond and Julien Royer},
journal= {arXiv preprint arXiv:2205.12733},
year = {2022}
}