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Wegner Estimate and the Density of States of Some Indefinite Alloy-Type Schrödinger Operators

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Abstract

We study Schrödinger operators with a random potential of alloy type. The single site potentials are allowed to change sign. For a certain class of them, we prove a Wegner estimate. This is a key ingredient in an existence proof of pure point spectrum of the considered random Schrödinger operators. Our estimate is valid for all bounded energy intervals and all space dimensions and implies the existence of the density of states.

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Authors and Affiliations

  1. Fakultät für Mathematik, Ruhr-Universität Bochum, Germany

    Ivan Veselić

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  1. Ivan Veselić
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Veselić, I. Wegner Estimate and the Density of States of Some Indefinite Alloy-Type Schrödinger Operators. Letters in Mathematical Physics 59, 199–214 (2002). https://doi.org/10.1023/A:1015580402816

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