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

Frederic Klopp; Nikolai Filonov

arxiv: math-ph/0402013 · v2 · submitted 2004-02-06 · 🧮 math-ph · math.AP· math.MP· math.SP

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 This is my paper

classification 🧮 math-ph math.APmath.MPmath.SP

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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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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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