1204.1076 (Sergey Morozov et al.)

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

Sergey Morozov, Leonid Parnovski, Roman Shterenberg

We obtain a complete asymptotic expansion of the integrated density of states of operators of the form H =(-\Delta)^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 Schr\"odinger operators with either smooth periodic or generic almost-periodic coefficients.

View original: http://arxiv.org/abs/1204.1076