We obtain a complete asymptotic expansion of the integrated density of states of operators of the form H = (-Δ)w+ B in ℝd. Here w > 0 and B belong 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. © 2013 Springer Basel.
