Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential

Published 7 Jan 2020 in math-ph, math.MP, and math.SP | (2001.02197v1)

Abstract: We consider a one-dimensional continuum Anderson model where the potential decays in average like $|x|^{-\alpha}$, $\alpha>0$. We show dynamical localization for $0<\alpha<\frac12$ and provide control on the decay of the eigenfunctions.

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