Semi-classical limit of large fermionic systems at positive temperature

DOI10.1063/1.5094397zbMath1480.81135arXiv1902.00310OpenAlexW3104439247WikidataQ127281822 ScholiaQ127281822MaRDI QIDQ5235511

Mathieu Lewin, Arnaud Triay, Peter S. Madsen

Publication date: 11 October 2019

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

Full work available at URL: https://arxiv.org/abs/1902.00310

zbMATH Keywords

Thomas-Fermi model

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Statistical thermodynamics (82B30) Fermionic systems in quantum theory (81V74)

Related Items (7)

Semi-classical limit of confined fermionic systems in homogeneous magnetic fields ⋮ On an effective equation of the reduced Hartree-Fock theory ⋮ Norm convergence of confined fermionic systems at zero temperature ⋮ From the Hartree Equation to the Vlasov--Poisson System: Strong Convergence for a Class of Mixed States ⋮ Semiclassical limit for almost fermionic anyons ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons

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