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 by N. Filonov, Nikolai Filonov, Frédéric Klopp +3
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paper · pdf · doi:10.48550/arxiv.math-ph/0402013

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)

openalex publication_date 2004/02/06 · arxiv created 2004/04/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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