The IDS and Asymptotic of the Largest Eigenvalue of Random Schrödinger Operators with Decaying Random Potential

Abstract

In this work we obtain the integrated density of states for the Schrödinger operators with decaying random potentials acting on ${\ell }^2({\mathbb{Z}}^d)$. We also study the asymptotic of the largest and smallest eigenvalues of its finite volume approximation