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

Leonid Parnovski; Roman Shterenberg

doi:https://doi.org/10.4007/annals.2012.176.2.8

Abstract

We prove the complete asymptotic expansion of the integrated density of states of a Schrödinger operator $H=-\Delta+b$ acting in $\Bbb{R}^d$ when the potential $b$ is either smooth periodic, or generic quasi-periodic (finite linear combination of exponentials), or belongs to a wide class of almost-periodic functions.

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

Abstract

Authors