The Semi Classical Maupertuis-Jacobi Correspondance for Quasi-Periodic Hamiltonian Flows
| dc.creator | Dobrokhotov, Sergey | |
| dc.creator | Rouleux, Michel | |
| dc.date | 2008-01-31 | |
| dc.date | 2008-07-17 | |
| dc.date.accessioned | 2026-07-07T09:50:35Z | |
| dc.date.available | 2026-07-07T09:50:35Z | |
| dc.description | We extend to the semi-classical setting the Maupertuis-Jacobi correspondance for a pair of hamiltonians $(H(x,hD_x), {\cal H}(x,hD_x)$. If ${\cal H}(p,x)$ is completely integrable, or has merely has invariant diohantine torus $Λ$ in energy surface ${\cal E}$, then we can construct a family of quasi-modes for $H(x,hD_x)$ at the corresponding energy $E$. This applies in particular to the theory of water-waves in shallow water, and determines trapped modes by an island, from the knowledge of Liouville metrics. | |
| dc.description | ~40 pages | |
| dc.identifier | https://arxiv.org/abs/0801.4882 | |
| dc.identifier | http://arxiv.org/abs/0801.4882 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164992 | |
| dc.subject | Mathematical Physics | |
| dc.title | The Semi Classical Maupertuis-Jacobi Correspondance for Quasi-Periodic Hamiltonian Flows | |
| dc.type | text |