On the derivation of the Hartree equation from the \(N\)-body Schrödinger equation: uniformity in the Planck constant

DOI10.1016/j.jfa.2018.06.008zbMath1400.82146arXiv1606.06436OpenAlexW2810019251MaRDI QIDQ1653289

François Golse, Thierry Paul, Mario Pulvirenti

Publication date: 3 August 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06436

zbMATH Keywords

Schrödinger equationclassical limitmean-field limitHartree equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Vlasov equations (35Q83) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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