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Localisation pour des opérateurs de Schrödinger aléatoires dans $L^2({\Bbb R}^d)$ : un modèle semi-classique

Localisation pour des opérateurs de Schrödinger aléatoires dans $L^2({\Bbb R}^d)$ : un modèle semi-classique

In L 2 (ℝ d ), we prove exponential localization for a semi-classical periodic Schrödinger operator perturbated by small independant identically distributed random perturbations put in each well of the periodic potential. To do this, we first show that our operator, restricted to some suitably chosen energy interval, is unitarily …