 9772 Werner Kirsch, Peter Stollmann, G\"unter Stolz
 Anderson Localization for Random Schr\"odinger Operators with Long Range
Interactions
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Feb 12, 97

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Abstract. We prove pure point spectrum at all band edges for Schr\"odinger Operators
with a periodic potential plus a random potential of the form
$V_{\omega}(x) = \sum q_i(\omega) f(xi)$ where $f$ is a long range
interaction which decays at infinity like $x^{m}$ for $m>3d$ respectively
$m>2d$ depending on the regularity of $f$. We get powerdecay for the
eigenfunctions. The random variables $q_i$ are supposed to be independent
and identically distributed. We suppose that their distribution has a
bounded density of compact support.
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