Mean field limit for bosons with compact kernels interactions by Wigner measures transportation

DOI10.1063/1.4895467zbMath1302.82075arXiv1402.4261OpenAlexW2011193947MaRDI QIDQ2924893

Q. Liard, Boris Pawilowski

Publication date: 20 October 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4261

zbMATH Keywords

many-body Hamiltoniansmulti-particle (potential) interactionnonlinear Hartree field equationWigner measures approach

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Statistical thermodynamics (82B30)

Related Items (5)

Cylindrical Wigner measures ⋮ Concentration of cylindrical Wigner measures ⋮ On uniqueness of measure-valued solutions to Liouville's equation of Hamiltonian PDEs ⋮ Localisation principle for one-scale H-measures ⋮ On the mean-field approximation of many-boson dynamics

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