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)
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.