Correlation energy of a weakly interacting Fermi gas

N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, ArXiv (n.d.).

Preprint | Submitted | English
Author
Benedikter, Niels PIST Austria ; Nam, Phan Thành; Porta, Marcello; Schlein, Benjamin; Seiringer, RobertIST Austria
Department
Abstract
We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree-Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy.
Publishing Year
Date Published
2020-05-18
Journal Title
ArXiv
Article Number
2005.08933
Page
56
IST-REx-ID

Cite this

Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. ArXiv.
Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (n.d.). Correlation energy of a weakly interacting Fermi gas. ArXiv. ArXiv.
Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” ArXiv. ArXiv, n.d.
N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” ArXiv. ArXiv.
Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. ArXiv.
Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” ArXiv, 2005.08933, ArXiv.
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