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 : Tatsuya Koike.

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.
2013
RIMS Kokyuroku Bessatsu
31
47
S. Fujiie, A. Lahmar-Benbernou, A. Martinez (2013). Semiclassical complex interactions at a non-analytic turning point. KYOTO : Tatsuya Koike.
S. Fujiie; A. Lahmar-Benbernou; A. Martinez
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/71066
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