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

Enguerrand Bon-Lavigne (1) , Loïc Le Treust (1) , Nicolas Raymond (2) , Julien Royer (3)

1 I2M - Institut de Mathématiques de Marseille
2 LAREMA - Laboratoire Angevin de Recherche en Mathématiques
3 IMT - Institut de Mathématiques de Toulouse UMR5219

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.

Domaines: Mathématiques [math]

Enguerrand Bon-Lavigne, Loïc Le Treust, Nicolas Raymond, Julien Royer. On Duclos-Exner's conjecture about waveguides in strong uniform magnetic fields. Forum of Mathematics, Sigma, 2023, 11, pp.e11. ⟨10.1017/fms.2023.9⟩. ⟨hal-03678608⟩