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V. Guillemin, A. Uribe, and Z. Wang
Canonical forms for perturbations of the harmonic oscillator view print
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| Published: |
March 2, 2015 |
| Keywords: |
Harmonic oscillator, toric sysem, Birkhoff canonical form |
| Subject: |
35P20, 37J40 |
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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.
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| Acknowledgements
V. Guillemin is supported in part by NSF grant DMS-1005696.
A. Uribe is supported in part by NSF grant DMS-0805878.
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| Author information
V. Guillemin:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
vwg@math.mit.edu
A. Uribe:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
uribe@umich.edu
Z. Wang:
Department of Mathematics, University of Science and Technology of China, Hefei, Anhi, 230026, China
wangzuoq@ustc.edu.cn
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