Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators

Abstract

We prove the complete asymptotic expansion of the integrated density of states of a Schrödinger operator H = -Δ + b acting in ℝ(d when the potential b is either smooth periodic, or generic quasi-periodic (finite linear combination of exponentials), or belongs to a wide class of almost-periodic functions.