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...

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Bibliographic Details
Main Authors: Guillemin, Victor W, Uribe, A., Wang, Zuoqin
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: New York Journal of Mathematics 2020
Online Access:https://hdl.handle.net/1721.1/126432