Rigorous results on Schroedinger operators with certain Gaussian random potentials in multi-dimensional continuous space

1997/04/30 by Werner Fischer, Thomas Hupfer, Hajo Leschke +1
Physics and Astronomy · #quant-ph

paper · pdf

published as Updated version of a contribution to the conference proceedings "Differential equations, asymptotic analysis, and mathematical physics," Eds.: M. Demuth and B.-W. Schulze, Akademie Verlag, Berlin (1997) pp. 105-112 · 9 pages

arxiv created 1997/04/30 · arxiv updated 2009/12/01

Abstract

Schroedinger operators with certain Gaussian random potentials in multi-dimensional Euclidean space possess almost surely an absolutely continuous integrated density of states and no absolutely continuous spectrum at sufficiently low energies.

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