Hartree corrections in a mean-field limit for fermions with Coulomb interaction
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Publication:4977131
DOI10.1088/1751-8121/aa6e0bzbMath1369.81129arXiv1609.04754OpenAlexW3101028886MaRDI QIDQ4977131
Publication date: 3 August 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.04754
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
Related Items (13)
From the Hartree dynamics to the Vlasov equation ⋮ Free time evolution of a tracer particle coupled to a Fermi gas in the high-density limit ⋮ 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 ⋮ From the Hartree Equation to the Vlasov--Poisson System: Strong Convergence for a Class of Mixed States ⋮ Combined mean-field and semiclassical limits of large fermionic systems ⋮ Global semiclassical limit from Hartree to Vlasov equation for concentrated initial data ⋮ The Dirac-Frenkel principle for reduced density matrices, and the Bogoliubov-de Gennes equations ⋮ Mean-field dynamics for the Nelson model with fermions ⋮ Bogoliubov corrections and trace norm convergence for the Hartree dynamics ⋮ Mean field dynamics of interacting fermionic systems ⋮ Propagation of moments and semiclassical limit from Hartree to Vlasov equation ⋮ Convergence towards the Vlasov-Poisson equation from the \(N\)-fermionic Schrödinger equation
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