Dynamical Upper Bounds for One-Dimensional Quasicrystals
Mathematical Physics
2014-12-30 v1 math.MP
Abstract
Following the Killip-Kiselev-Last method, we prove quantum dynamical upper bounds for discrete one-dimensional Schr\"odinger operators with Sturmian potentials. These bounds hold for sufficiently large coupling, almost every rotation number, and every phase.
Keywords
Cite
@article{arxiv.math-ph/0203018,
title = {Dynamical Upper Bounds for One-Dimensional Quasicrystals},
author = {David Damanik},
journal= {arXiv preprint arXiv:math-ph/0203018},
year = {2014}
}
Comments
14 pages; this paper extends and replaces math-ph/0112013