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

Physics – Condensed Matter

Scientific paper

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

Scientific paper

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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