Analysis and Applied Mathematics Seminar
Xiaoan Shen
University of Illinois Chicago
Semiclassical wave packets for weakly nonlinear Schrödinger equations with rotation
Abstract: 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.
Monday September 9, 2024 at 4:00 PM in 636 SEO