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arXiv · 1204.1076

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

Sergey Morozov·Leonid Parnovski·Roman Shterenberg
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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.

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Sergey Morozov, Leonid Parnovski, Roman Shterenberg. 2012-04-04. Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic pseudo-differential operators. https://doi.org/10.1007/s00023-013-0246-8

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