Scaling Estimates for Solutions and Dynamical Lower Bounds on Wavepacket Spreading
Mathematical Physics
2014-12-30 v1 math.MP
Spectral Theory
Abstract
We establish quantum dynamical lower bounds for discrete one-dimensional Schr\"odinger operators in situations where, in addition to power-law upper bounds on solutions corresponding to energies in the spectrum, one also has lower bounds following a scaling law. As a consequence, we obtain improved dynamical results for the Fibonacci Hamiltonian and related models.
Cite
@article{arxiv.math-ph/0407017,
title = {Scaling Estimates for Solutions and Dynamical Lower Bounds on Wavepacket Spreading},
author = {David Damanik and Serguei Tcheremchantsev},
journal= {arXiv preprint arXiv:math-ph/0407017},
year = {2014}
}
Comments
23 pages