01-223 Alexander Fedotov and Fr d ric Klopp

Anderson transitions for a family of almost periodic Schr dinger equations in the adiabatic case (1649K, Postscript) Jun 22, 01

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Abstract. This work is devoted to the study of a family of almost periodic one-dimensional Schr dinger equations. We define a monodromy matrix for this family. We study the asymptotic behavior of this matrix in the adiabatic case. Therefore, we use a complex WKB method for adiabatic perturbations of periodic Schr dinger equations. The study of the monodromy matrix enables us to get spectral results for the initial family of almost periodic equations.

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