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Exponential bounds on curvature-induced resonances in a two-dimensional Dirichlet tube

Authors :
Duclos, P.
Exner, P.
Meller, B.
Publication Year :
1998
Publisher :
Birkhäuser, 1998.

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.<br />Comment: LaTeX2.09, 30 pages, 3 figures, to appear in Helv. Phys. Acta

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....7cb4efd6a7bd9b947fcc1546621dbbed
Full Text :
https://doi.org/10.5169/seals-117100