Homogeneous Spectrum of Quasi-periodic Gevrey Schr\"odinger Operators with Diophantine Frequency
classification
🧮 math.DS
math-phmath.MPmath.SP
keywords
diophantinefrequencygevreyhomogeneousodingerpotentialquasi-periodicschr
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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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