Non-Integrability of the Kepler and the Two-Body Problems on the Heisenberg Group
The analog of the Kepler system defined on the Heisenberg group introduced by Montgomery and Shanbrom in [Fields Inst. Commun., Vol. 73, Springer, New York, 2015, 319-342, arXiv:1212.2713] is integrable on the zero level of the Hamiltonian. We show that in all other cases the system is not Liouville...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2021 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2021
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211349 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Non-Integrability of the Kepler and the Two-Body Problems on the Heisenberg Group. Tomasz Stachowiak and Andrzej J. Maciejewski. SIGMA 17 (2021), 074, 12 pages |