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

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

2012-04-04

arxiv.org/abs/1204.1076v1

Physics

Mathematical Physics

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

Scientific paper

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.

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