Anderson Localization for Time Periodic Random Schr\"odinger operators
Spectral Theory
2007-05-23 v1 Analysis of PDEs
Abstract
We prove that at large disorder, Anderson localization in is stable under localized time-periodic perturbations by proving that the associated quasi-energy operator has pure point spectrum. The formulation of this problem is motivated by questions of Anderson localization for non-linear Schr\"odinger equations.
Cite
@article{arxiv.math/0209091,
title = {Anderson Localization for Time Periodic Random Schr\"odinger operators},
author = {Avy Soffer and Wei-Min Wang},
journal= {arXiv preprint arXiv:math/0209091},
year = {2007}
}
Comments
15 pgs, to appear in Commun PDE