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Academic Report of SMS 2022-19

Title:Quantum harmonic oscillator with time quasi-periodic perturbations: almost reducibility and growth of Sobolev norms

Abstract:For 1-d quantum harmonic oscillator perturbed by a time quasi-periodic polynomial of (x,-i\partial_x) of degree 2, we consider its almost reducibility. As an application, we show different behaviors of the solutions in Sobolev spaces. This is based on several joint works with Z. Liang, J. Luo and Q. Zhou.

Speaker:Professor Zhao zhiyan, Université Côte d’Azur.

Date:2:00pm-3:30pm 2022-5-15(Sunday).

Venue: ZOOM, ID: 853 3746 3882;Code: 467207

Organizer:School of Mathematical Science、Science  and Technology Division

Students and teachers are welcome.




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