In this paper, we study the spectral properties of a family of discrete one-dimensional quasi-periodic Schrödinger operators (depending on a phase theta). In the perturbative regime and in large disorder, under some conditions on v and a diophantine rotation number, we prove by using KAM theory that this operator satisfies both Anderson and dynamical localization for all θ∈[0,2π).
Cite this paper
Refai, W. (2023). Dynamical Localization of the Quasi-Periodic Schrödinger Operators. Open Access Library Journal, 10, e966. doi: http://dx.doi.org/10.4236/oalib.1110966.
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