Wegner-type bounds for a two-particle Anderson model in a continuous space
Mathematical Physics
2008-12-16 v1 math.MP
Abstract
We analyse a two-particle quantum system in with interaction and in presence of a random external potential field with a continuous argument (an Anderson model in a continuous space). Our aim is to establish the so-called Wegner-type estimates for such a model, assessing the probability that random spectra of Hamiltonians in finite volumes intersect with a given set. For the lattice version of the two-particle model, a similar result was obtained in [8]
Cite
@article{arxiv.0812.2627,
title = {Wegner-type bounds for a two-particle Anderson model in a continuous space},
author = {A. Boutet de Monvel and V. Chulaevsky and Y. Suhov},
journal= {arXiv preprint arXiv:0812.2627},
year = {2008}
}