A local quantum version of the Kolmogorov theorem

D. Borthwick, S. Graffi

Consider in $L^2({\mathbb{R}}^l)$ the operator family $H(\epsilon ):=P_0(\hslash ,\omega )+\epsilon Q_0$. $P_0$ is the quantum harmonic oscillator with diophantine frequency vector $\om$, $Q_0$ a bounded pseudodiff…