Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension

David Damanik, Serguei Tcheremchantsev

Published 2002-06-17Version 1

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.