The rigorous derivation of the $\mathbb{T}^{2}$ focusing cubic NLS from 3D

25 Jun 2020 Shen Shunlin

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 infinite-depth in the $z$-direction. Physical experiments for these systems are scarce... (read more)

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