Strong semiclassical limits from Hartree and Hartree-Fock to Vlasov-Poisson equations
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Publication:6171209
DOI10.2140/apde.2023.16.891zbMath1515.35228arXiv2003.02926MaRDI QIDQ6171209
Chiara Saffirio, Laurent Lafleche
Publication date: 17 July 2023
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.02926
semiclassical limitVlasov equationCoulomb interactiongravitational interactionHartree-Fock equationHartree equation
NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Vlasov equations (35Q83) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (3)
On quantum Sobolev inequalities ⋮ A mixed-norm estimate of the two-particle reduced density matrix of many-body Schrödinger dynamics for deriving the Vlasov equation ⋮ The Magnetic Liouville Equation as a Semiclassical Limit
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