Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension
Mathematical Physics
2014-12-31 v1 math.MP
Abstract
We present an approach to quantum dynamical lower bounds for discrete one-dimensional Schr\"odinger operators which is based on power-law bounds on transfer matrices. It suffices to have such bounds for a nonempty set of energies. We apply this result to various models, including the Fibonacci Hamiltonian.
Cite
@article{arxiv.math-ph/0206025,
title = {Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension},
author = {David Damanik and Serguei Tcheremchantsev},
journal= {arXiv preprint arXiv:math-ph/0206025},
year = {2014}
}
Comments
22 pages