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Wegner-type Bounds for a Multi-particle Continuous Anderson Model with an Alloy-type External Potential

By A. Boutet de Monvel, V. Chulaevsky, P. Stollmann and Y. Suhov

Abstract

We consider an N-particle quantum systems in R d, with interaction and in presence of a random external alloy-type potential (a continuous N-particle Anderson model). We establish Wegner-type bounds (inequalities) for such models, giving upper bounds for the probability that random spectra of Hamiltonians in finite volumes intersect a given set

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.185.540
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