The Spectral Theory of Adiabatic Quasi-Periodic Operators on the Real Line,
2003, v.9, №4, 579-614
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