Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential
published by Gregorio Moreno Flores
in 2020
in Physics
and research's language is
English
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Abstract in English
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.