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arxiv: 0812.2627 · v1 · submitted 2008-12-14 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords modelcontinuoustwo-particleandersonrandomspacewegner-typeanalyse
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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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