Quantum Birkhoff Normal Form in the $σ$-Bruno-Rüssmann non-resonant condition
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908754198396928 |
|---|---|
| author | Yuan, Huanhuan Gao, Yixian Li, Yong |
| author_facet | Yuan, Huanhuan Gao, Yixian Li, Yong |
| contents | The aim of this paper is to construct a Gevrey quantum Birkhoff normal form for the $h$-differential operator $P_{h}(t),$ where $ t\in(-\frac{1}{2},\frac{1}{2})$, in the neighborhood of the union $Λ$ of KAM tori. This construction commences from an appropriate Birkhoff normal form of $H$ around $Λ$ and proceeds under the $σ$-Bruno-Rüssmann condition with $σ>1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05041 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Birkhoff Normal Form in the $σ$-Bruno-Rüssmann non-resonant condition Yuan, Huanhuan Gao, Yixian Li, Yong Mathematical Physics The aim of this paper is to construct a Gevrey quantum Birkhoff normal form for the $h$-differential operator $P_{h}(t),$ where $ t\in(-\frac{1}{2},\frac{1}{2})$, in the neighborhood of the union $Λ$ of KAM tori. This construction commences from an appropriate Birkhoff normal form of $H$ around $Λ$ and proceeds under the $σ$-Bruno-Rüssmann condition with $σ>1$. |
| title | Quantum Birkhoff Normal Form in the $σ$-Bruno-Rüssmann non-resonant condition |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2501.05041 |