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I-d quantum harmonic oscillator with quadratic time-dependent perturbation: reducibility and growth of Sobolev norms
时间  Datetime
2019-12-05 10:00 — 11:30 
地点  Venue
Large Conference Room(706)
报告人  Speaker
赵之彦
单位  Affiliation
Universite Cote d`Azur
邀请人  Host
于江
报告摘要  Abstract

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.