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

Academic Article

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.
  • Published In

    Digital Object Identifier (doi)

    Author List

  • Parnovski L; Shterenberg R
  • Start Page

  • 1039
  • End Page

  • 1096
  • Volume

  • 176
  • Issue

  • 2