Wegner-type bounds for a two-particle continuous Anderson model with an alloy-type external potential
Mathematical Physics
2008-12-16 v1 math.MP
Abstract
We consider a two-particle quantum systems in a d-dimensional Euclidean space with interaction and in presence of a random external potential (a continuous two-particle Anderson model). We establish Wegner-type estimates (inequalities) for such models, assessing the probability that random spectra of Hamiltonians in finite volumes intersect a given set.
Keywords
Cite
@article{arxiv.0812.2621,
title = {Wegner-type bounds for a two-particle continuous Anderson model with an alloy-type external potential},
author = {A. Boutet de Monvel and V. Chulaevsky and P. Stollmann and Y. Suhov},
journal= {arXiv preprint arXiv:0812.2621},
year = {2008}
}