Lower Transport Bounds for One-dimensional Continuum Schrödinger Operators |
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Authors: | David Damanik Daniel Lenz Günter Stolz |
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Affiliation: | 1. Mathematics 253–37, California Institute of Technology, Pasadena, CA, 91125, USA 2. Fakult?t für Mathematik, TU Chemnitz, Chemnitz, 09107, Germany 3. Department of Mathematics, University of Alabama, Birmingham, AL, 35294, USA
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Abstract: | We prove quantum dynamical lower bounds for one-dimensional continuum Schrödinger 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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