Geodesic Flow on the n-Dimensional Ellipsoid as a Liouville Integrable System
| dc.creator | Dita, Petre | |
| dc.date | 1999-11-09 | |
| dc.date.accessioned | 2026-07-07T04:27:17Z | |
| dc.date.available | 2026-07-07T04:27:17Z | |
| dc.description | We show that the motion on the n-dimensional ellipsoid is complete integrable by exhibiting n integrals in involution. The system is separable at classical and quantum level, the separation of classical variables being realized by the inverse of the momentum map. This system is a generic one in a new class of n-dimensional complete integrable Hamiltonians defined by an arbitrary function f(q,p) invertible with respect to momentum p and rational in the coordinate q. | |
| dc.description | Latex, 8 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/9911054 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9911054 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56364 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Geodesic Flow on the n-Dimensional Ellipsoid as a Liouville Integrable System | |
| dc.type | text |