97-245 Werner Fischer, Thomas Hupfer, Hajo Leschke, Peter Mueller

Existence of the density of states for multi-dimensional continuum Schroedinger operators with Gaussian random potentials (60K, uuencoded gzipped postscript) Apr 28, 97

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Abstract. A Wegner estimate is proved for quantum systems in multi-dimensional Euclidean space which are characterized by one-particle Schroedinger operators with random potentials that admit a certain one-parameter 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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