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Lower bounds for shape resonances widths of long range Schrödinger operators
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 124, Number 4, August 2002
- pp. 677-735
- 10.1353/ajm.2002.0020
- Article
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In this article we give general lower bounds of shape resonance widths in the semi-classical limit for Schrödinger operators in the exterior of smooth compact obstacles with Dirichlet or Neuman boundary conditions and with long range dilation analytic potentials. These lower bounds are exponentially small with respect to the Planck constant.