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 .
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