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

dc.creatorDuclos, P.
dc.creatorExner, P.
dc.creatorMeller, B.
dc.date1997-09-10
dc.date.accessioned2026-07-07T09:13:50Z
dc.date.available2026-07-07T09:13:50Z
dc.descriptionWe 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.
dc.descriptionLaTeX2.09, 30 pages, 3 figures, to appear in Helv. Phys. Acta
dc.identifierhttps://arxiv.org/abs/funct-an/9709001
dc.identifierhttp://arxiv.org/abs/funct-an/9709001
dc.identifierHelv. Phys. Acta. vol 71: 133-162 (1998)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152465
dc.subjectFunctional Analysis
dc.subjectCondensed Matter
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleExponential Bounds on Curvature-Induced Resonances in a Two-Dimensional Dirichlet Tube
dc.typetext

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