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

Duclos, P.; Exner, P.; Meller, B.

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

Authors

Duclos, P.

Exner, P.

Meller, B.

Description

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