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On the Cubic Lowest Landau Level Equation

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arxiv 1709.04276 v1 pith:2FG24JZK submitted 2017-09-13 math.AP

Patrick Gérard (1) , Pierre Germain (2) , Laurent Thomann (3) ((1) LM-Orsay , (2) CIMS , (3) IECL) This is my paper
classification math.AP
keywords stationarycubicequationlandaulevellowestwavesable
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We study dynamical properties of the cubic lowest Landau level equation, which is used in the modeling of fast rotating Bose-Einstein condensates. We obtain bounds on the decay of general stationary solutions. We then provide a classification of stationary waves with a finite number of zeros. Finally, we are able to establish which of these stationary waves are stable, through a variational analysis.

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Cited by 2 Pith papers

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  1. A superintegrable quantum field theory

    nlin.SI 2025-11 unverdicted novelty 6.0 of 10

    The quantum cubic Szegő equation exhibits integer spectra for its Hamiltonian and conserved hierarchies, indicating superintegrability beyond ordinary quantum integrability.

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    A quantum-variational matrix method is proposed for bounding homogeneous polynomials, with converging numerical tensor-eigenvalue estimates and a new conjectured inequality for Biasi's resonant Hamiltonians.

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