F. Germinet, P. Hislop, A. Klein On localization for the Schrodinger operator with a Poisson random potential (298K, pdf) ABSTRACT. We prove exponential localization for the Schr\"odinger operator with a Poisson random potential at the bottom of the spectrum in any dimension. We also prove exponential localization in a prescribed interval for all large Poisson densities. In addition, we obtain dynamical localization and finite multiplicity of the eigenvalues.