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