From the Hartree Equation to the Vlasov--Poisson System: Strong Convergence for a Class of Mixed States

DOI10.1137/19M1299529zbMath1477.35270arXiv1903.06013OpenAlexW3100111135MaRDI QIDQ5137068

Chiara Saffirio

Publication date: 1 December 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06013

zbMATH Keywords

semiclassical limitquantum dynamicsVlasov-Poisson systemHartree equationmixed states

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with quantum mechanics (35Q40) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Vlasov equations (35Q83)

Related Items

Effective dynamics of interacting fermions from semiclassical theory to the random phase approximation, Global-in-time semiclassical regularity for the Hartree–Fock equation, Propagation of Moments for Large Data and Semiclassical Limit to the Relativistic Vlasov Equation, Strong semiclassical limits from Hartree and Hartree-Fock to Vlasov-Poisson equations, 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, On the \(L^2\) rate of convergence in the limit from the Hartree to the Vlasov-Poisson equation, Combined mean-field and semiclassical limits of large fermionic systems, Classical and quantum mechanical models of many-particle systems. Abstracts from the workshop held November 29 -- December 5, 2020 (online meeting), Convergence towards the Vlasov-Poisson equation from the \(N\)-fermionic Schrödinger equation

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