Analysis Seminar

The Rigorous Derivation of the T^2 Focusing NLS from 3D

Shunlin Shen (Peking University and University of Rochester)

Friday, March 6th, 2020
2:00 PM - 3:00 PM
Hylan 1106A

We derive rigorously the 2D periodic focusing cubic NLS as the mean-field limit of the 3D focusing quantum many-body dynamics describing a dilute Bose gas with periodic boundary condition in the x-direction and a well of in nite-depth in the z-direction. Physical experiments for these systems are scarce. We fi nd that, to ful ll the empirical requirement for observing NLS dynamics in experiments, namely, the kinetic energy dominates the potential energy, it is necessary to impose an extra restriction on the system parameters. This restriction gives rises to an unusual coupling constant.

Event contact: hazel dot mcknight at rochester dot edu