SEMINARS
I-d quantum harmonic oscillator with quadratic time-dependent perturbation: reducibility and growth of Sobolev norms

2019-12-05　10:00 — 11:30

Large Conference Room(706)

Universite Cote d`Azur

Consider the quantum harmonic oscillator with a time-dependent perturbation which is a quadratic form in $(x, −i\partial_x)$ with coefficients depending quasi-periodically on time. By the semi-classical analysis, we precise the growth rate of Sobolev norms via the reducibility of quasi-periodic sl(2,R)-systems. This is joint work with Z. Liang and Q. Zhou.