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Wegner Estimate and the Density of States of Some Indefinite Alloy-Type Schrödinger Operators
Authors:Veselić  Ivan
Institution:(1) Fakultät für Mathematik, Ruhr-Universität Bochum, Germany
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.
Keywords:density of states  random Schrö  dinger operators  Wegner estimate  multi scale analysis  localization  indefinite single site potential
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