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

 

报告人:赵之彦 法国尼斯大学  副教授

 

内容:Consider the quantum harmonic oscillator with a time-dependent perturbation which is a polynomial of degree 2 in (x, −i?x) with coefficients depending quasi-periodically on time. By the theory of Bambusi-Grébert-Maspero-Robert, 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.

 

时间:2月21日周四下午14:00–15:00

 

地点:蒙民伟楼1105

 

邀请人:王奕倩 老师