Correlation energy of a weakly interacting Fermi gas

DOI10.1007/s00222-021-01041-5zbMath1484.82006arXiv2005.08933OpenAlexW3158160083MaRDI QIDQ2049907

Niels Benedikter, Phan Thành Nam, Robert Seiringer, Marcello Porta, Benjamin Schlein

Publication date: 27 August 2021

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08933

zbMATH Keywords

quantum many-body probleminteracting Fermi gas

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Fermionic systems in quantum theory (81V74)

Related Items (11)

Effective dynamics of interacting fermions from semiclassical theory to the random phase approximation ⋮ Bosonization of fermionic many-body dynamics ⋮ On relative bounds for interacting Fermion operators ⋮ The Random Phase Approximation for Interacting Fermi Gases in the Mean-Field Regime ⋮ Correlation energy of a weakly interacting Fermi gas with large interaction potential ⋮ The Gell-Mann-Brueckner formula for the correlation energy of the electron gas: a rigorous upper bound in the mean-field regime ⋮ Effective dynamics of extended Fermi gases in the high-density regime ⋮ An optimal upper bound for the dilute Fermi gas in three dimensions ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ On the effective quasi-bosonic Hamiltonian of the electron gas: collective excitations and plasmon modes ⋮ Differential equations of quantum mechanics

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