Dynamical Upper Bounds for One-Dimensional Quasicrystals

Details Dynamical Upper Bounds for One-Dimensional Quasicrystals Dynamical Upper Bounds for One-Dimensional Quasicrystals

2002-03-11

arxiv.org/abs/math-ph/0203018v1

Physics

Mathematical Physics

14 pages; this paper extends and replaces math-ph/0112013

Scientific paper

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.

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