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arXiv · 1508.02787

Mixed spectral types for the one frequency discrete quasi-periodic Schr\"odinger operator

Shiwen Zhang
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Abstract

We consider a family of one frequency discrete analytic quasi-periodic Schr\"odinger operators which appear in [Bjer]. We show that this family provides an example of coexistence of absolutely continuous and point spectrum for some parameters as well as coexistence of absolutely continuous and singular continuous spectrum for some other parameters.

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Shiwen Zhang. 2015-08-12. Mixed spectral types for the one frequency discrete quasi-periodic Schr\"odinger operator. https://arxiv.org/abs/1508.02787

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