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

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

2009-07-09

arxiv.org/abs/0907.1459v1

Physics

Mathematical Physics

2 figures

Scientific paper

We establish exponential localization for a two-particle Anderson model in a
Euclidean space ${\mathbb R}^{d}$, $d\ge 1$, 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 $L^2$-norm.

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