Derivation of the 1d nonlinear Schrödinger equation from the 3d quantum many-body dynamics of strongly confined bosons

DOI10.1063/1.5075514zbMath1414.81283arXiv1803.11011OpenAlexW3103519856MaRDI QIDQ5379349

Lea Boßmann

Publication date: 28 May 2019

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

Full work available at URL: https://arxiv.org/abs/1803.11011

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (7)

The mean-field limit of the Lieb-Liniger model ⋮ On the nonlinear Schrödinger equation with a toroidal-shaped trap in the strong confinement regime ⋮ Derivation of the 2d Gross-Pitaevskii equation for strongly confined 3d bosons ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Derivation of the 1d Gross-Pitaevskii equation from the 3d quantum many-body dynamics of strongly confined bosons ⋮ Higher order corrections to the mean-field description of the dynamics of interacting bosons ⋮ Derivation of the time dependent Gross-Pitaevskii equation in two dimensions

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