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.