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

Nikolai Filonov; Frederic Klopp

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

Nikolai Filonov·Frederic Klopp

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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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Nikolai Filonov, Frederic Klopp. 2004-04-09. Absolute continuity of the spectrum of a Schrodinger operator with a potential which is periodic in some directions and decays in others. https://arxiv.org/abs/math-ph/0402013

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