Anderson localization in a two-particle continuous model with an alloy-type external potential

2009/07/09 by A. Boutet de Monvel, de Monvel, A. Boutet, V. Chulaevsky +5
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0907.1459

2 figures

arxiv created 2009/07/09 · arxiv updated 2009/12/01

Abstract

We establish exponential localization for a two-particle Anderson model in a Euclidean space \mathbb R^d, d≥ 1, in presence of a non-trivial short-range interaction and a random external potential of the alloy type. Specifically, we prove that all eigenfunctions with eigenvalues near the lower edge of the spectrum decay exponentially in L²-norm.

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