04-211 David Damanik and Serguei Tcheremchantsev

Scaling Estimates for Solutions and Dynamical Lower Bounds on Wavepacket Spreading (63K, LaTeX) Jul 12, 04

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Abstract. We establish quantum dynamical lower bounds for discrete one-dimensional Schr\"odinger 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.

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