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Semiclassical wave packets for weakly nonlinear Schrödinger equations with rotation

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journal contribution
posted on 2025-02-03, 14:44 authored by Xiaoan Shen, Christof SparberChristof Sparber
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 an classical Hamiltonian phase-space flow. The rotation term is thereby seen to alter this flow, but not the corresponding classical action.

History

Citation

Shen, X.Sparber, C. (2024). Semiclassical wave packets for weakly nonlinear Schrödinger equations with rotation. Zeitschrift für angewandte Mathematik und Physik, 75(5), 171-. https://doi.org/10.1007/s00033-024-02311-x

Publisher

Springer Nature

Language

  • en

issn

0044-2275

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