1307.7227 (Victor Guillemin et al.)

Canonical forms for perturbations of the harmonic oscillator    [PDF]

Victor Guillemin, Alejandro Uribe, Zuoqin Wang

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.

View original: http://arxiv.org/abs/1307.7227