David Damanik, Daniel Lenz, G\"unter Stolz
Lower transport bounds for one-dimensional continuum Schr\"odinger operators
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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.