COHERENT PROPAGATION OF 2 INTERACTING PARTICLES IN A RANDOM POTENTIAL

It is shown that in a random potential two repulsing or attracting par ticles can propagate coherently on a distance l(c) much larger than on e-particle localization length l(1). The enhancement factor l(c)/l(1) for coherent localization length is proportional to l(1). The connecti on of this problem with the superimposed band random matrices is estab lished, and the theory developed is tested in numerical simulations wi th random potential models and models of quantum chaos.