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Lower Transport Bounds for One-Dimensional Continuum Schrödinger Operators

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.

preprint2004arXivOpen access
David DamanikDaniel LenzGünter Stolz
math-phmath.MP
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David DamanikDaniel LenzGünter Stolz

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