On the cubic lowest Landau level equation

DOI10.1007/S00205-018-1295-4zbMath1412.82034arXiv1709.04276OpenAlexW2755504860WikidataQ129366094 ScholiaQ129366094MaRDI QIDQ1710409

Patrick Gérard, Pierre Germain, Laurent Thomann

Publication date: 22 January 2019

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04276

zbMATH Keywords

Bose-Einstein condensatestationary wavecubic lowest Landau level equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Quantum equilibrium statistical mechanics (general) (82B10) Fokker-Planck equations (35Q84)

Related Items (17)

On multi-solitons for coupled lowest Landau level equations ⋮ Breathing modes, quartic nonlinearities and effective resonant systems ⋮ Solvable cubic resonant systems ⋮ Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates ⋮ Classification of traveling waves for a quadratic Szegö equation ⋮ An optimal minimization problem in the lowest Landau level and related questions ⋮ A nonrelativistic limit for AdS perturbations ⋮ Time-periodic quantum states of weakly interacting bosons in a harmonic trap ⋮ Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes ⋮ Stationary states of the cubic conformal flow on \(\mathbb{S}^3\) ⋮ Growth of Sobolev norms for coupled lowest Landau level equations ⋮ Melonic turbulence ⋮ On the high frequency limit of the LLL equation ⋮ Resonant Hamiltonian systems associated to the one-dimensional nonlinear Schrödinger equation with harmonic trapping ⋮ Growth of Sobolev norms for linear Schrödinger operators ⋮ Thomas-Fermi profile of a fast rotating Bose-Einstein condensate ⋮ Complex plane representations and stationary states in cubic and quintic resonant systems

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