Lower Transport Bounds for One-Dimensional Continuum Schr\"odinger Operators
Mathematical Physics
2014-12-30 v1 math.MP
Abstract
We prove quantum dynamical lower bounds for one-dimensional continuum Schr\"odinger operators that possess critical energies for which there is slow growth of transfer matrix norms and a large class of compactly supported initial states. This general result is applied to a number of models, including the Bernoulli-Anderson model with a constant single-site potential.
Keywords
Cite
@article{arxiv.math-ph/0410062,
title = {Lower Transport Bounds for One-Dimensional Continuum Schr\"odinger Operators},
author = {David Damanik and Daniel Lenz and Günter Stolz},
journal= {arXiv preprint arXiv:math-ph/0410062},
year = {2014}
}
Comments
22 pages