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Arithmetic version of anderson localization for quasiperiodic Schrodinger operators with even cosine type potentials

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 نشر من قبل Lingrui Ge Dr
 تاريخ النشر 2021
  مجال البحث فيزياء
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We propose a new method to prove Anderson localization for quasiperiodic Schrodinger operators and apply it to the quasiperiodic model considered by Sinai and Frohlich-Spencer-Wittwer. More concretely, we prove Anderson localization for even $C^2$ cosine type quasiperiodic Schrodinger operators with large coupling constants, Diophantine frequencies and Diophantine phases.

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