- 97-520 Fedotov A., Klopp F.
- The monodromy matrix for a family of almost periodic Schr\"odinger
equations in the adiabatic case.
(330K, Uuencoded gzipped Postscript)
Sep 24, 97
(auto. generated ps),
of related papers
Abstract. This work is devoted to the study of a family of almost periodic
one-dimensional Schr\"odinger equations. We define a monodromy
matrix for this family. We study the asymptotic behavior of this
matrix in the adiabatic case. Therefore, we develop a complex WKB
method for adiabatic perturbations of periodic Schr\"odinger equations.
At last, the study of the monodromy matrix enables us to get some
spectral results for the initial family of almost periodic equations.