Absolute continuity of the spectrum of a Schrodinger operator with a potential which is periodic in some directions and decays in others

Abstract

We prove that the spectrum of a Schrodinger operator that is periodic in certain directions and super-exponentially decaying in the others is purely absolutely continuous.

The proof of Lemma 6.1 and thus Theorem 6.1 was false; the new version provides a correct proof. The paper is to appear as Doc. Math. 9:107-121 (2004)