München 1997 – wissenschaftliches Programm
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MP: Theoretische und Mathematische Grundlagen der Physik
MP 8: Endliche Quantensysteme
MP 8.3: Fachvortrag
Donnerstag, 20. März 1997, 14:40–15:00, HS 110
Existence of the density of states for multi-dimensional continuum Schrödinger operators with Gaussian random potentials — •Thomas Hupfer2, Werner Fischer1, Hajo Leschke2, and Peter Müller2 — 1Universität Erlangen-Nürnberg, Institut für Theoretische Physik, Staudtstraße 7, D-91058 Erlangen — 2Universität Erlangen-Nürnberg, Institut fr Theoretische Physik, Staudtstra"se 7, D-91058 Erlangen
A Wegner estimate is proved for quantum systems in multi-dimensional Euclidean space wich are characterized by one-particle Schrödinger operators 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.