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HOMOGENEOUS SPECTRUM OF QUASI-PERIODIC GEVREY SCHRODINGER OPERATORS WITH DIOPHANTINE FREQUENCY
被引:2
作者:
Yang, Yan
[1
]
Tao, Kai
[1
]
机构:
[1] Hohai Univ, Coll Sci, 1 Xikang Rd, Nanjing 210098, Jiangsu, Peoples R China
关键词:
Homogeneous spectrum;
Gevrey potential;
Diophantine frequency;
quasi-periodic Schr?dinger operator;
large coupling number;
DENSITY-OF-STATES;
ANDERSON LOCALIZATION;
HOLDER CONTINUITY;
GAPS;
D O I:
10.3934/dcds.2022166
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We consider the quasi-periodic Schrodinger operator with the non-degenerate Gevrey potential for the Diophantine frequency. We prove that if the coupling constant of the potential is large enough, then the spectrum is homogeneous.
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页码:688 / 714
页数:27
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