Analysis and Applied Mathematics Seminar: Semiclassical wave packets for weakly nonlinear Schrödinger equations with rotation, by Xiaoan Shen
September 9, 2024
4:00 PM - 4:50 PM
Xiaoan Shen (University of Illinois Chicago): Semiclassical wave packets for weakly nonlinear Schrödinger equations with rotation
We consider semiclassically scaled, weakly nonlinear Schrödinger equations with external confining potentials and additional angular-momentum rotation term. This type of model arises in the Gross-Pitaevskii theory of trapped, rotating quantum gases. We construct asymptotic solutions in the form of semiclassical wave-packets, which are concentrated in both space and in frequency around a classical Hamiltonian phase-space flow. The rotation term is thereby seen to alter this flow, but not the corresponding classical action.
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Date posted
Sep 7, 2024
Date updated
Sep 7, 2024
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