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Adiabatic Evolution and Shape Resonances
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eBook
Adiabatic Evolution and Shape Resonances
2022
Overview
Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider
a general linear adiabatic evolution problem for a semi-classical Schrödinger operator with a time dependent potential with a well in an
island. In particular, we show that we can choose the adiabatic parameter
\\center
Motivés par un
problème d’approximation à un mode pour une évolution avec accumulation de charge dans des puits de potentiel, nous considérons un
problème d’évolution linéaire pour un opérateur de Schrödinger avec un potentiel dépendant du temps avec un puits dans une île. En
particular, nous montrons que nous pouvons choisir le paramètre adiabatique
Publisher
American Mathematical Society
Subject
ISBN
9781470454210, 1470454211
