An Example of Embedded Singular Continuous Spectrum for Discrete Schrödinger Operators

We present an example of a potential such that the corresponding discrete Schrödinger operator has singular continuous spectrum embedded in the absolutely continuous spectrum.

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 40; no. 8; pp. 1837 - 1849
Main Authors Fu, Zheng Qi, Li, Xiong
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2024
Springer Nature B.V
Subjects
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
Schrodinger equation
Spectrum analysis
singular continuous spectrum
Sparse potentials
Prüfer variables
81Q10
58J50
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Summary:We present an example of a potential such that the corresponding discrete Schrödinger operator has singular continuous spectrum embedded in the absolutely continuous spectrum.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-024-2574-7