Wegner-type bounds for a two-particle continuous Anderson model with an alloy-type external potential

Details Wegner-type bounds for a two-particle continuous Anderson model with an alloy-type external potential Wegner-type bounds for a two-particle continuous Anderson model with an alloy-type external potential

2008-12-14

arxiv.org/abs/0812.2621v1

Physics

Mathematical Physics

Scientific paper

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.

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