Continuity with respect to Disorder of the Integrated Density of States

Details Continuity with respect to Disorder of the Integrated Density of States Continuity with respect to Disorder of the Integrated Density of States

2004-09-03

arxiv.org/abs/math-ph/0409007v1

Ill. J. Math. 49 (2005), 893

Physics

Mathematical Physics

12 pages, LaTeX

Scientific paper

We prove that the integrated density of states (IDS) associated to a random
Schroedinger operator is locally uniformly Hoelder continuous as a function of
the disorder parameter lambda. In particular, we obtain convergence of the IDS,
as lambda tends to 0, to the IDS for the unperturbed operator at all energies
for which the IDS for the unperturbed operator is continuous in energy.

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