Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential
2020
We consider a one-dimensional continuum Anderson model where the potential decays in average like
$$|x|^{-\alpha }$$
,
$$\alpha >0$$
. We show dynamical localization for
$$0<\alpha <\frac{1}{2}$$
and provide control on the decay of the eigenfunctions.
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