---
_id: '6649'
abstract:
- lang: eng
text: "While Hartree–Fock theory is well established as a fundamental approximation
for interacting fermions, it has been unclear how to describe corrections to it
due to many-body correlations. In this paper we start from the Hartree–Fock state
given by plane waves and introduce collective particle–hole pair excitations.
These pairs can be approximately described by a bosonic quadratic Hamiltonian.
We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type
upper bound to the ground state energy. Our result justifies the random-phase
approximation in the mean-field scaling regime, for repulsive, regular interaction
potentials.\r\n"
accept: '1'
article_type: original
author:
- first_name: Niels P
full_name: Benedikter, Niels P
id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
last_name: Benedikter
orcid: 0000-0002-1071-6091
- first_name: Phan Thành
full_name: Nam, Phan Thành
last_name: Nam
- first_name: Marcello
full_name: Porta, Marcello
last_name: Porta
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
cc_license: '''https://creativecommons.org/licenses/by/4.0/'''
citation:
ama: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound
for the correlation energy of a Fermi gas in the mean-field regime. *Communications
in Mathematical Physics*. 2019. doi:10.1007/s00220-019-03505-5
apa: Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R.
(2019). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field
regime. *Communications in Mathematical Physics*. https://doi.org/10.1007/s00220-019-03505-5
chicago: Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein,
and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi
Gas in the Mean-Field Regime.” *Communications in Mathematical Physics*,
2019. https://doi.org/10.1007/s00220-019-03505-5.
ieee: N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal
upper bound for the correlation energy of a Fermi gas in the mean-field regime,”
*Communications in Mathematical Physics*, 2019.
ista: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2019. Optimal upper
bound for the correlation energy of a Fermi gas in the mean-field regime. Communications
in Mathematical Physics.
mla: Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy
of a Fermi Gas in the Mean-Field Regime.” *Communications in Mathematical Physics*,
Springer, 2019, doi:10.1007/s00220-019-03505-5.
short: N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications
in Mathematical Physics (2019).
date_created: 2019-07-18T13:30:04Z
date_published: 2019-07-13T00:00:00Z
date_updated: 2019-08-02T12:39:24Z
day: '13'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00220-019-03505-5
external_id:
arxiv:
- '1809.01902'
file:
- access_level: open_access
content_type: application/pdf
creator: dernst
date_created: 2019-07-24T07:19:10Z
date_updated: 2019-07-24T07:19:10Z
file_id: '6668'
file_name: 2019_CommMathPhysics_Benedikter.pdf
file_size: 853289
open_access: 1
relation: main_file
success: 1
file_date_updated: 2019-07-24T07:19:10Z
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
publication: Communications in Mathematical Physics
publication_identifier:
eissn:
- 1432-0916
issn:
- 0010-3616
publication_status: epub_ahead
publisher: Springer
quality_controlled: '1'
status: public
title: Optimal upper bound for the correlation energy of a Fermi gas in the mean-field
regime
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2019'
...