Canonical forms for perturbations of the harmonic oscillator
classification
🧮 math.SP
math-phmath.MP
keywords
canonicalformharmonicoscillatorperturbationssystemsbirkhoffclass
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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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