An Example of Embedded Singular Continuous Spectrum for Discrete Schr?dinger Operators

被引:0
|
作者
Zheng Qi FU
Xiong LI
机构
[1] LaboratoryofMathematicsandComplexSystems(MinistryofEducation),SchoolofMathematicalSciences,BeijingNormalUniversity
关键词
D O I
暂无
中图分类号
学科分类号
摘要
We present an example of a potential such that the corresponding discrete Schr?dinger operator has singular continuous spectrum embedded in the absolutely continuous spectrum.
引用
收藏
页码:1837 / 1849
页数:13
相关论文
共 50 条
  • [41] A Family of Schrödinger Operators Whose Spectrum is an Interval
    Helge Krüger
    Communications in Mathematical Physics, 2009, 290 : 935 - 939
  • [42] The Negative Spectrum of Schr?dinger Operators with Fractal Potentials
    Bo Wu
    Hongyong Wang
    Weiyi Su
    Analysis in Theory and Applications, 2015, 31 (04) : 381 - 393
  • [43] On absolute continuity of the spectrum of periodic Schrödinger operators
    Ihyeok Seo
    Monatshefte für Mathematik, 2016, 180 : 893 - 912
  • [44] Discreteness of spectrum conditions for Schrödinger operators on manifolds
    V. A. Kondrat’ev
    M. A. Shubin
    Functional Analysis and Its Applications, 1999, 33 : 231 - 232
  • [45] The Essential Spectrum of Schrödinger, Jacobi, and CMV Operators
    Yoram Last
    Barry Simon
    Journal d’Analyse Mathématique, 2006, 98 : 183 - 220
  • [46] On the spectrum of lattice Schrödinger operators with deterministic potential
    J. Bourgain
    Journal d'Analyse Mathématique, 2002, 87 : 37 - 75
  • [47] New Estimates for the Bottom of the Spectrum of Schrödinger Operators
    Daniel Levin
    Annals of Global Analysis and Geometry, 2006, 29 : 313 - 322
  • [48] Essential Spectrum of Schrödinger Operators on Periodic Graphs
    V. S. Rabinovich
    Functional Analysis and Its Applications, 2018, 52 : 66 - 69
  • [49] Construction of QuasiPeriodic Schrödinger Operators with Cantor Spectrum
    Xuanji Hou
    Yuan Shan
    Jiangong You
    Annales Henri Poincaré, 2019, 20 : 3563 - 3601
  • [50] Measure Zero Spectrum of a Class of Schrödinger Operators
    Qing-Hui Liu
    Bo Tan
    Zhi-Xiong Wen
    Jun Wu
    Journal of Statistical Physics, 2002, 106 : 681 - 691