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

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dc.creatorFilonov, Nikolai
dc.creatorKlopp, Frederic
dc.date2004-02-06
dc.date2004-04-09
dc.date.accessioned2026-07-07T04:30:56Z
dc.date.available2026-07-07T04:30:56Z
dc.descriptionWe 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.
dc.descriptionThe 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)
dc.identifierhttps://arxiv.org/abs/math-ph/0402013
dc.identifierhttp://arxiv.org/abs/math-ph/0402013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57643
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.titleAbsolute continuity of the spectrum of a Schrodinger operator with a potential which is periodic in some directions and decays in others
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