Canonical forms for perturbations of the harmonic oscillator

Author(s)
Guillemin, Victor W; Uribe, A.; Wang, Zuoqin
Thumbnail
DownloadSubmitted version (386.6Kb)
Terms of use
Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/
Metadata
Show full item record
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.
Date issued
2015-07
URI
https://hdl.handle.net/1721.1/126432
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
New York Journal of Mathematics
Publisher
New York Journal of Mathematics
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
Version: Original manuscript
Collections