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arXiv · 0812.2627

Wegner-type bounds for a two-particle Anderson model in a continuous space

A. Boutet de Monvel·V. Chulaevsky·Y. Suhov
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Abstract

We analyse a two-particle quantum system in $\R^d$ 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]

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A. Boutet de Monvel, V. Chulaevsky, Y. Suhov. 2008-12-14. Wegner-type bounds for a two-particle Anderson model in a continuous space. https://arxiv.org/abs/0812.2627

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