Canonical forms for perturbations of the harmonic oscillator
Name
1307.7227.pdf
Description
Submitted version
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386.7 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Guillemin, Victor W
Uribe, A.
Wang, Zuoqin
Date Issued
July 2015
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
http://nyjm.albany.edu/j/2015/21-7.html
