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

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

2004-02-06

arxiv.org/abs/math-ph/0402013v2

Physics

Mathematical Physics

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

Scientific paper

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.

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