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Lower Transport Bounds for One-dimensional Continuum Schrödinger Operators
Authors:David Damanik  Daniel Lenz  Günter Stolz
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
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.
Keywords:
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