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Exponential Bounds on Curvature-Induced Resonances in a Two-Dimensional Dirichlet Tube

P. Duclos·P. Exner·B. Meller
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Abstract

We consider curvature-induced resonances in a planar two-dimensional Dirichlet tube of a width $ d $. It is shown that the distances of the corresponding resonance poles from the real axis are exponentially small as $ d\to 0+ $, provided the curvature of the strip axis satisfies certain analyticity and decay requirements.

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BibTeXRIS

P. Duclos, P. Exner, B. Meller. 1997-09-10. Exponential Bounds on Curvature-Induced Resonances in a Two-Dimensional Dirichlet Tube. https://arxiv.org/abs/funct-an/9709001

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