Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension
David Damanik, Serguei Tcheremchantsev
Abstract
We present an approach to quantum dynamical lower bounds for discrete one-dimensional Schrödinger 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.
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