Propagation of chaos for many-boson systems in one dimension with a point pair-interaction
From MaRDI portal
Publication:2883251
zbMath1253.81067arXiv0906.3047MaRDI QIDQ2883251
Sébastien Breteaux, Zied Ammari
Publication date: 11 May 2012
Full work available at URL: https://arxiv.org/abs/0906.3047
nonlinear Schrödinger equationFock spaceclassical limitcoherent statemean field limitnon-autonomous Schrödinger equation
Model quantum field theories (81T10) Quantum chaos (81Q50) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (10)
The mean-field limit of the Lieb-Liniger model ⋮ The time-dependent Hartree-Fock-Bogoliubov equations for bosons ⋮ Poisson commuting energies for a system of infinitely many bosons ⋮ Mean field limit for bosons with compact kernels interactions by Wigner measures transportation ⋮ On uniqueness of measure-valued solutions to Liouville's equation of Hamiltonian PDEs ⋮ On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type ⋮ Well-posedness of non-autonomous linear evolution equations in uniformly convex spaces ⋮ Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ On the mean-field approximation of many-boson dynamics
This page was built for publication: Propagation of chaos for many-boson systems in one dimension with a point pair-interaction
