The Spectral Theory of Adiabatic Quasi-Periodic Operators on the Real Line,
A. Fedotov, F. Klopp
2003, v.9, Issue 4, 579-614
ABSTRACT
In this paper, we present a review of our recent results on spectral properties of adiabatic quasi-periodic Schrodinger equations. We describe new spectral phenomena and explain them in terms of simple semi-classical heuristics.
Keywords: almost periodic Schrodinger equation,singular spectrum,absolutely continuous spectrum,complex WKB method,monodromy matrix
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