We continue a dominant WKB solution of the Schr\"odinger equation in the classically forbidden region to an outgoing WKB solution in the classically allowed region across a simple (multi-dimensional) turning point, without assuming the analyticity for the potential. This report explains briefly the method used in \cite{bfm}, where we computed the semiclassical asymptotics of the width of shape resonances for non-globally analytic potentials.
S. Fujiie, A. Lahmar-Benbernou, A. Martinez (2013). Semiclassical complex interactions at a non-analytic turning point. Kyoto : Research Institute for Mathematical Sciences, Kyoto University.
Semiclassical complex interactions at a non-analytic turning point
MARTINEZ, ANDRE' GEORGES
2013
Abstract
We continue a dominant WKB solution of the Schr\"odinger equation in the classically forbidden region to an outgoing WKB solution in the classically allowed region across a simple (multi-dimensional) turning point, without assuming the analyticity for the potential. This report explains briefly the method used in \cite{bfm}, where we computed the semiclassical asymptotics of the width of shape resonances for non-globally analytic potentials.File in questo prodotto:
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