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arXiv · 2102.12851

Homogeneous Spectrum of Quasi-periodic Gevrey Schr\"odinger Operators with Diophantine Frequency

Yan Yang·Kai Tao
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Abstract

We consider the quasi-periodic Schr\"odinger operator with the non-degenerate Gevrey potential for the Diophantine frequency. We prove that if the coupling number of the potential is large, then the spectrum is homogeneous.

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Yan Yang, Kai Tao. 2021-02-25. Homogeneous Spectrum of Quasi-periodic Gevrey Schr\"odinger Operators with Diophantine Frequency. https://arxiv.org/abs/2102.12851

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