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

Abstract

We obtain a complete asymptotic expansion of the integrated density of states of operators of the form H =(-Δ)^w +B in R^d. Here w >0, and B belongs to a wide class of almost-periodic self-adjoint pseudo-differential operators of order less than 2w. In particular, we obtain such an expansion for magnetic Schrödinger operators with either smooth periodic or generic almost-periodic coefficients.

47 pages. arXiv admin note: text overlap with arXiv:1004.2939

References in corpus (3)

• Bethe-Sommerfeld Conjecture
• Bethe-Sommerfeld conjecture for periodic operators with strong perturbations
• Asymptotic expansion of the integrated density of states of a two-dimensional periodic Schrodinger operator

Cited by in corpus (1)

• Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrodinger operators