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arxiv: 1004.2939 · v2 · pith:D2E3IGH5new · submitted 2010-04-17 · 🧮 math-ph · math.MP· math.SP

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

classification 🧮 math-ph math.MPmath.SP
keywords almost-periodicasymptoticcompletedensityexpansionintegratedschrodingerstates
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We prove the complete asymptotic expansion of the integrated density of states of a Schrodinger operator H = -\Delta + b acting in 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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