Exponential Bounds on Curvature-Induced Resonances in a Two-Dimensional Dirichlet Tube
Duclos, P. ; Exner, P. ; Meller, B.
arXiv, 9709001 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1997-09-10
Classification:  Mathematics - Functional Analysis,  Condensed Matter,  Mathematical Physics,  Quantum Physics 
@article{9709001,
     author = {Duclos, P. and Exner, P. and Meller, B.},
     title = {Exponential Bounds on Curvature-Induced Resonances in a Two-Dimensional
  Dirichlet Tube},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9709001}
}

Duclos, P.; Exner, P.; Meller, B. Exponential Bounds on Curvature-Induced Resonances in a Two-Dimensional
  Dirichlet Tube. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9709001/