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• W2000028639 abstract "In this paper, we consider one-dimensional adiabatic quasi-periodic Schrödinger operators in the regime of strong resonant tunneling. We show the emergence of a level repulsion phenomenon which is seen to be very naturally related to the local spectral type of the operator: the more singular the spectrum, the weaker the repulsion. Dans cet article, nous étudions une famille d'opérateurs quasi-périodiques adiabatiques dans un cas d'effet tunnel résonant fort. Nous voyons l'apparition d'un phénomène fort de répulsion de niveaux qui est relié au type spectral local de l'opérateur : plus le spectre est singulier, plus la répulsion est faible." @default.
• W2000028639 created "2016-06-24" @default.
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• W2000028639 date "2005-11-01" @default.
• W2000028639 modified "2023-09-25" @default.
• W2000028639 title "Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators" @default.
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• W2000028639 doi "https://doi.org/10.1016/j.ansens.2005.10.002" @default.
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