Canonical forms for perturbations of the harmonic oscillator
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...
Main Authors: | Guillemin, Victor W, Uribe, A., Wang, Zuoqin |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | English |
Published: |
New York Journal of Mathematics
2020
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Online Access: | https://hdl.handle.net/1721.1/126432 |
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