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.

引用

页码：645 / 659

页数：14

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