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Wegner Bounds for a Two-Particle Tight Binding Model

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Abstract

We consider a quantum two-particle system on a lattice \({\mathbb{Z}^d}\) with interaction and in presence of an IID external potential. We establish Wegner-type estimates for such a model. The main tool used is Stollmann’s lemma.

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Authors and Affiliations

  1. Département de Mathématiques et Informatique, Université de Reims, Moulin de la Housse, B.P. 1039, 51687, Reims Cedex 2, France

    Victor Chulaevsky

  2. Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB, UK

    Yuri Suhov

Authors
  1. Victor Chulaevsky
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  2. Yuri Suhov
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Correspondence to Victor Chulaevsky.

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Communicated by B. Simon

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Chulaevsky, V., Suhov, Y. Wegner Bounds for a Two-Particle Tight Binding Model. Commun. Math. Phys. 283, 479–489 (2008). https://doi.org/10.1007/s00220-008-0508-3

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  • DOI: https://doi.org/10.1007/s00220-008-0508-3

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