The monodromy matrix for a family of almost periodic Schrödinger equations in the adiabatic case
Alexander Fedotov, Frédéric Klopp
Abstract
This work is devoted to the study of a family of almost periodic one-dimensional Schrödinger equations. We define a monodromy matrix for this family. We study the asymptotic behavior of this matrix in the adiabatic case. Therefore, w develop a complex WKB method for adiabatic perturbations of periodic Schrödinger equations. At last, the study of the monodromy matrix enables us to get some spectral results for the initial family of almost periodic equations.
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