%0 Journal Article
%T Dynamical Localization of the Quasi-Periodic Schrödinger Operators
%A Walid Refai
%J Open Access Library Journal
%V 10
%N 12
%P 1-13
%@ 2333-9721
%D 2023
%I Open Access Library
%R 10.4236/oalib.1110966
%X 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).
%K Quasi-Periodic Schrodinger Operators
%K Pure Point Spectrum
%K Eigenfunctions
%K Dynamical Localization
%U http://www.oalib.com/paper/6809870