The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs

Details The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs

2007-07-10

arxiv.org/abs/0707.1486v1

Random Oper. Stoch. Equ. 16.1 (2008), 1-10

Mathematics

Spectral Theory

8 pages

Scientific paper

10.1515/ROSE.2008.001

We consider an alloy type potential on an infinite metric graph. We assume a covering condition on the single site potentials. For random Schr\"odingers operator associated with the alloy type potential restricted to finite volume subgraphs we prove a Wegner estimate which reproduces the modulus of continuity of the single site distribution measure. The Wegner constant is independent of the energy.

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