A semi-classical K.A.M. theorem
| dc.creator | Roy, Nicolas | |
| dc.date | 2004-03-25 | |
| dc.date | 2005-05-24 | |
| dc.date.accessioned | 2026-07-07T09:24:46Z | |
| dc.date.available | 2026-07-07T09:24:46Z | |
| dc.description | We consider a semi-classical completely integrable system defined by a $\hbar$-pseudodifferential operator $\hat{H}$ on the torus $\mathbb{T}^{d}$. In order to study perturbed operators of the form $\hat{H}+\hbar^κ\hat{K}$, where $\hat{K}$ is an arbitrary pseudodifferential operator and $κ>0$, we prove the conjugacy to a suitable normal form. This is then used to construct a large number of quasimodes. | |
| dc.description | One mistake in Proposition 15 corrected, introduction shortened, typographics errors fixed, bibliography updated | |
| dc.identifier | https://arxiv.org/abs/math-ph/0403045 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0403045 | |
| dc.identifier | Comm. Partial Differential Equations 32 (2007), no. 5, 745--770. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156181 | |
| dc.subject | Mathematical Physics | |
| dc.title | A semi-classical K.A.M. theorem | |
| dc.type | text |