Mean-field quantum dynamics with magnetic fields
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Publication:2861694
DOI10.1063/1.3687024zbMath1274.81085arXiv1202.1065OpenAlexW3100523084MaRDI QIDQ2861694
Publication date: 11 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.1065
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70)
Related Items (12)
A simple proof of convergence to the Hartree dynamics in Sobolev trace norms ⋮ A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on \(\mathbb{T}^3\) from the dynamics of many-body quantum systems ⋮ Derivation of the Hartree equation for compound Bose gases in the mean field limit ⋮ The Magnetic Liouville Equation as a Semiclassical Limit ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Randomization and the Gross-Pitaevskii hierarchy ⋮ On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy ⋮ Local existence of solutions to randomized Gross-Pitaevskii hierarchies ⋮ Derivation of the Bogoliubov time evolution for a large volume mean-field limit ⋮ Bogoliubov corrections and trace norm convergence for the Hartree dynamics ⋮ Convergence rate towards the fractional Hartree equation with singular potentials in higher Sobolev trace norms ⋮ On the mean-field approximation of many-boson dynamics
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