We study the widths of shape resonances for the semiclassical multidimensional Schrödinger operator, in the case where the frequency remains close to some value strictly larger than the bottom of the well. Under a condition on the behavior of the resonant state inside the well, we obtain an optimal lower bound for the widths.
Venezia, M.D., Martinez, A. (2017). Widths of Highly Excited Shape Resonances. ANNALES HENRI POINCARE', 18(4), 1289-1304 [10.1007/s00023-017-0564-3].
Widths of Highly Excited Shape Resonances
MARTINEZ, ANDRE' GEORGES
2017
Abstract
We study the widths of shape resonances for the semiclassical multidimensional Schrödinger operator, in the case where the frequency remains close to some value strictly larger than the bottom of the well. Under a condition on the behavior of the resonant state inside the well, we obtain an optimal lower bound for the widths.File in questo prodotto:
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