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


الملخص بالإنكليزية

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.

تحميل البحث