04-337 David Damanik, Daniel Lenz, G\"unter Stolz

Lower transport bounds for one-dimensional continuum Schr\"odinger operators (355K, PDF) Oct 28, 04

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Abstract. We prove quantum dynamical lower bounds for one-dimensional continuum Schr\"odinger operators that possess critical energies for which there is slow growth of transfer matrix norms and a large class of compactly supported initial states. This general result is applied to a number of models, including the Bernoulli-Anderson model with a constant single-site potential.

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