Xiaoan Shen : Semiclassical wave packets for weakly nonlinear Schrödinger equations with rotation

Posted by Christof Sparber , part of the Analysis and Applied Mathematics Seminar.

At

Sept. 9, 2024, 4 p.m.

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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.