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

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

2010-04-17

arxiv.org/abs/1004.2939v2

Physics

Mathematical Physics

54 pages; some details added to sections 5 and 10; typos corrected

Scientific paper

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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