Alexander Fedotov and Fr d ric Klopp
On the absolutely continuous spectrum of one dimensional 
quasi-periodic Schr dinger operators in the adiabatic limit
(469K, Postscript)

ABSTRACT.  In this paper we study the spectral properties of families of 
quasi-periodic Schr dinger operators on the real line in the 
adiabatic limit in the case when the adiabatic iso-energetic curves 
are extended along the position direction. We prove that, in energy 
intervals where this is the case, most of the spectrum is purely 
absolutely continuous in the adiabatic limit, and that the 
associated generalized eigenfunctions are Bloch-Floquet solutions.