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arXiv · 2107.08547

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

Lingrui Ge·Jiangong You·Xin Zhao
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Abstract

We propose a new method to prove Anderson localization for quasiperiodic Schrödinger operators and apply it to the quasiperiodic model considered by Sinai and Fröhlich-Spencer-Wittwer. More concretely, we prove Anderson localization for even $C^2$ cosine type quasiperiodic Schrödinger operators with large coupling constants, Diophantine frequencies and Diophantine phases.

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Lingrui Ge, Jiangong You, Xin Zhao. 2021-07-18. Arithmetic version of anderson localization for quasiperiodic Schrödinger operators with even cosine type potentials. https://arxiv.org/abs/2107.08547

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