ANDERSON LOCALIZATION FOR RANDOM SCHRODINGER-OPERATORS WITH LONG-RANGE INTERACTIONS

We prove pure point spectrum with exponentially decaying eigenfunction s at all band edges for Schrodinger Operators with a periodic potentia l plus a random potential of the form V-w(x) = Sigma q(i)(w)f(x - i), where f decays at infinity like \x\(-m) for m > 4d resp, m > 3d depend ing on the regularity of f. The random variables q(i) are supposed to be independent and identically distributed. We assume that their distr ibution has a bounded density of compact support.