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The density of states for almost periodic Schrödinger operators and the frequency module: A counter-example

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Abstract

We exhibit an example of a one-dimensional discrete Schrödinger operator with almost periodic potential for which the steps of the density of states do not belong to the frequency module. This example is suggested by theK-theory [3].

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References

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Communicated by A. Jaffe

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Bellissard, J., Scoppola, E. The density of states for almost periodic Schrödinger operators and the frequency module: A counter-example. Commun.Math. Phys. 85, 301–308 (1982). https://doi.org/10.1007/BF01254461

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  • DOI: https://doi.org/10.1007/BF01254461

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