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Lifshitz tails for random perturbations of periodic Schrödinger operators

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Abstract

The present paper is a non-exhaustive review of Lifshitz tails for random perturbations of periodic Schrödinger operators. It is not our goal to review the whole literature on Lifshitz tails; we will concentrate on a single model, the continuous Anderson model.

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  1. Département de Mathématique, Institut Galilée, U.M.R. 7539 C.N.R.S, Université de Paris-Nord, 99 Avenue J.-B. Clément, F-93430, Villetaneuse, France

    Frédéric Klopp

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Klopp, F. Lifshitz tails for random perturbations of periodic Schrödinger operators. Proc. Indian Acad. Sci. (Math. Sci.) 112, 147–162 (2002). https://doi.org/10.1007/BF02829647

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