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It is shown that in a random potential two repulsing or attracting particles can propagate coherently on a distance l₂ much larger than one-particle localization length l₁. The enhancement factor l₂{l₁} for coherent localization length is proportional to l₁. The connection of this problem with the superimposed band random matrices is established, and the theory developed is tested in numerical simulations with random potential models and models of quantum chaos.
Dima L. Shepelyansky (1994) studied this question.