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

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.

LaTeX2.09, 30 pages, 3 figures, to appear in Helv. Phys. Acta

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