Stark resonances in a quantum waveguide with analytic curvature - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2016

Stark resonances in a quantum waveguide with analytic curvature

Résumé

We investigate the influence of an electric field on trapped modes arising in a two-dimensional curved quantum waveguide Ω i.e. bound states of the corresponding Laplace operator −∆ Ω. Here the curvature of the guide is supposed to satisfy some assumptions of analyticity, and decays as O(|s| −ε), ε > 0 at infinity. We show that under conditions on the electric field F, H(F) := −∆ Ω + F.x has resonances near the discrete eigenvalues of −∆ Ω .
Fichier principal
Vignette du fichier
articleBriet_Gharsalli.pdf (161.52 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01292418 , version 1 (23-03-2016)
hal-01292418 , version 2 (10-06-2016)
hal-01292418 , version 3 (24-06-2016)

Identifiants

Citer

Philippe Briet, Mounira Gharsalli. Stark resonances in a quantum waveguide with analytic curvature. 2016. ⟨hal-01292418v1⟩
268 Consultations
122 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More