 97245 Werner Fischer, Thomas Hupfer, Hajo Leschke, Peter Mueller
 Existence of the density of states for multidimensional continuum
Schroedinger operators with Gaussian random potentials
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Apr 28, 97

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Abstract. A Wegner estimate is proved for quantum systems in multidimensional
Euclidean space which are characterized by oneparticle
Schroedinger operators with random potentials that admit a
certain oneparameter decomposition.
In particular, the Wegner estimate applies to systems with
rather general Gaussian random potentials. As a consequence, these systems
possess an absolutely continuous integrated density of states, whose
derivative, the density of states, is locally bounded. An explicit upper
bound is derived.
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