| dc.contributor.author | Guillemin, Victor W | |
| dc.contributor.author | Uribe, A. | |
| dc.contributor.author | Wang, Zuoqin | |
| dc.date.accessioned | 2020-07-29T20:47:56Z | |
| dc.date.available | 2020-07-29T20:47:56Z | |
| dc.date.issued | 2015-07 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/126432 | |
| dc.description.abstract | We consider a class of perturbations of the 2D harmonic oscillator, and of some other dynamical systems, which we show are isomorphic to a function of a toric system (a Birkhoff canonical form). We show that for such systems there exists a quantum normal form as well, which is determined by spectral data. | en_US |
| dc.language.iso | en | |
| dc.publisher | New York Journal of Mathematics | en_US |
| dc.relation.isversionof | http://nyjm.albany.edu/j/2015/21-7.html | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Canonical forms for perturbations of the harmonic oscillator | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Guillemin, V. et al. "Canonical forms for perturbations of the harmonic oscillator." New York Journal of Mathematics 21 (July 2015): 163-180 © 2015 New York Journal of Mathematics | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | New York Journal of Mathematics | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dc.date.updated | 2019-11-13T16:00:39Z | |
| dspace.date.submission | 2019-11-13T16:00:44Z | |
| mit.journal.volume | 21 | en_US |
| mit.metadata.status | Complete | |
