Lower Transport Bounds for One-Dimensional Continuum Schrödinger Operators

Details Lower Transport Bounds for One-Dimensional Continuum Schrödinger Operators Lower Transport Bounds for One-Dimensional Continuum Schrödinger Operators

2004-10-28

arxiv.org/abs/math-ph/0410062v1

Physics

Mathematical Physics

22 pages

Scientific paper

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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