Published December 1997 | Version v1
Journal article

Existence of the density of states for multi-dimensional continuum Schroedinger operators with Gaussian random potentials

  • 1. Erlangen-Nuernberg Univ., Erlangen (Germany). Inst. fuer Theoretische Physik
  • 2. Institut fuer Theoretische Physik, Georg-August-Universitaet, D-37073 Goettingen (Germany)

Description

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. (orig.)

Additional details

Publishing Information

Journal Title
Communications in Mathematical Physics
Journal Volume
190
Journal Issue
1
Journal Page Range
p. 133-141.
ISSN
0010-3616
CODEN
CMPHAY

Optional Information

Notes
33 refs.