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- W296127114 abstract "In this talk, we report on results about the width of the resonances for a slowly varying perturbation of a periodic operator. The study takes place in dimension one. The perturbation is assumed to be analytic and local in the sense that it tends to a constant at +∞ and at −∞; these constants may differ. Modulo an assumption on the relative position of the range of the local perturbation with respect to the spectrum of the background periodic operator, we show that the width of the resonances is essentially given by a tunneling effect in a suitable phase space. R´´ Dans cet expose, nous decrirons le calcul de la largeur des resonances de perturbations lentes d'operateurs de Schrodinger periodiques. Cetteetude est uni- dimensionnelle. Les perturbations lentes considerees sont analytiques et locales au sens ou elles tendent vers une constante en +∞ et en −∞ ; ces deux constantes peuvent toute- foisetre differentes. Sous des hypotheses adequates sur la position relative de l'image de la perturbation locale par rapport au spectre de l'operateur de Schrodinger periodique, nous demontrons que la largeur des resonances est donnee par un effet tunnel dans un espace de phase adequat." @default.
- W296127114 created "2016-06-24" @default.
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- W296127114 date "2006-05-09" @default.
- W296127114 modified "2023-10-17" @default.
- W296127114 title "The width of resonances for slowly varying perturbations of one-dimensional periodic Schrödinger operators" @default.
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