Explicit construction of gevrey quasi-periodic discrete schrödinger operators with cantor spectrum
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866912227199549440 |
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| author | Hou, Xuanji Zhang, Li |
| author_facet | Hou, Xuanji Zhang, Li |
| contents | 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 . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16434 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Explicit construction of gevrey quasi-periodic discrete schrödinger operators with cantor spectrum Hou, Xuanji Zhang, Li Dynamical Systems 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 . |
| title | Explicit construction of gevrey quasi-periodic discrete schrödinger operators with cantor spectrum |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2312.16434 |