Absence of eigenvalues for quasiperiodic Schrödinger type operators

被引：0
|
作者：
Jiahao Xu
Xin Zhao
机构：
[1] Nanjing University,Department of Mathematical Sciences
来源：
Frontiers of Mathematics in China | 2019年 / 14卷
关键词：
Quasiperiodic Schrödinger type operators; absence of eigenvalues; singular continuous spectrum; 37P30; 58J51;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain the matrix-valued Schrödinger-type operators [Hα,θ] with Lipschitz potentials having no eigenvalues on the set {E: L(E) < δC, d(α, θ)}, where δ is an explicit function depending on the sampling function C(θ), dimension d, phase θ, and frequency α, and L(E) is the Lyapunov exponent.
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页码：645 / 659
页数：14
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