02-270 David Damanik and Serguei Tcheremchantsev

Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension (63K, LaTeX) Jun 17, 02

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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.

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