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math-ph2004
Weakly resonant tunneling interactions for adiabatic quasi-periodic Schrodinger operators
Alexander Fedotov, Frederic Klopp
In this paper, we study spectral properties of the one dimensional periodic Schrodinger operator with an adiabatic quasi-periodic perturbation. We show that in certain energy regio…
math-ph2004
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
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.