From Hartree dynamics to the relativistic Vlasov equation

DOI10.1007/s10955-018-1973-5zbMath1397.35310arXiv1709.02711OpenAlexW2752665070MaRDI QIDQ1785579

Benjamin Schlein, Simone Rademacher, Elia Dietler

Publication date: 1 October 2018

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

Full work available at URL: https://arxiv.org/abs/1709.02711

zbMATH Keywords

many-body quantum mechanicsrelativistic Vlasov equationHartree theory

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) PDEs in connection with relativity and gravitational theory (35Q75) Vlasov equations (35Q83)

Related Items

Propagation of Moments for Large Data and Semiclassical Limit to the Relativistic Vlasov Equation ⋮ A mixed-norm estimate of the two-particle reduced density matrix of many-body Schrödinger dynamics for deriving the Vlasov equation ⋮ Combined mean-field and semiclassical limits of large fermionic systems ⋮ Semi-classical limit of large fermionic systems at positive temperature ⋮ The Hartree and Vlasov equations at positive density ⋮ Convergence towards the Vlasov-Poisson equation from the \(N\)-fermionic Schrödinger equation

Cites Work

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