Scaling Estimates for Solutions and Dynamical Lower Bounds on Wavepacket Spreading
arXiv:math-ph/0407017
Abstract
We establish quantum dynamical lower bounds for discrete one-dimensional Schrödinger 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.
23 pages