Absence of eigenvalues for quasiperiodic Schrödinger type operators

doi:10.1007/s11464-019-0773-9

Front. Math. China

2019, Vol. 14

Issue (3) : 645-659 https://doi.org/10.1007/s11464-019-0773-9

RESEARCH ARTICLE

Absence of eigenvalues for quasiperiodic Schrödinger type operators

Jiahao XU, Xin ZHAO(

)

Department of Mathematical Sciences, Nanjing University, Nanjing 210093, China

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Abstract

We obtain the matrix-valued Schrödinger-type operators [H_α,θ] with Lipschitz potentials having no eigenvalues on the set {E: L(E)<δ_C_,_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.

Keywords Quasiperiodic Schrödinger type operators absence of eigenvalues singular continuous spectrum

Corresponding Author(s): Xin ZHAO

Issue Date: 10 July 2019

Cite this article:

Jiahao XU,Xin ZHAO. Absence of eigenvalues for quasiperiodic Schrödinger type operators[J]. Front. Math. China, 2019, 14(3): 645-659.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-019-0773-9
https://academic.hep.com.cn/fmc/EN/Y2019/V14/I3/645

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