Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-periodic Schrödinger Operators
نویسنده
چکیده
We prove the complete asymptotic expansion of the integrated density of states of a Schrödinger operator H = −∆+b acting in R 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.
منابع مشابه
Complete asymptotic expansion of the inte- grated density of states of multidimensional almost-periodic pseudo-differential operators
We obtain a complete asymptotic expansion of the integrated density of states of operators of the form H = (−∆) + B in R. 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. M...
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