Explicit construction of gevrey quasi-periodic discrete schrödinger operators with cantor spectrum

2023/12/27 by Xuanji Hou, Zhang Li, Hou, Xuanji +1
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Quantum optics and atomic interactions #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2312.16434

openalex publication_date 2023/12/27 · openalex created_date 2023/12/30 · openalex updated_date 2026/07/28

Abstract

We construct 1-dim difference Schrödinger operators with a class of Gevrey potentials such that Cantor spectrum occurs together with the estimations of open spectral gaps . The proof is based on KAM and Moser-Pöschel argument .

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