Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states

DOI10.1016/j.matpur.2010.12.004zbMath1251.81062arXiv1003.2054OpenAlexW2116270614MaRDI QIDQ543928

Zied Ammari, Francis Nier

Publication date: 17 June 2011

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2054

zbMATH Keywords

semiclassical analysismean field limitWigner measuresinfinite dimensional nonlinear Hamiltonian flow

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Model quantum field theories (81T10) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

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