---
_id: '14931'
abstract:
- lang: eng
  text: We prove an upper bound on the ground state energy of the dilute spin-polarized
    Fermi gas capturing the leading correction to the kinetic energy resulting from
    repulsive interactions. One of the main ingredients in the proof is a rigorous
    implementation of the fermionic cluster expansion of Gaudin et al. (1971) [15].
acknowledgement: A.B.L. would like to thank Johannes Agerskov and Jan Philip Solovej
  for valuable discussions. We thank Alessandro Giuliani for helpful discussions and
  for pointing out the reference [18]. Funding from the European Union's Horizon 2020
  research and innovation programme under the ERC grant agreement No 694227 is acknowledged.
  Financial support by the Austrian Science Fund (FWF) through project number I 6427-N
  (as part of the SFB/TRR 352) is gratefully acknowledged.
article_number: '110320'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Asbjørn Bækgaard
  full_name: Lauritsen, Asbjørn Bækgaard
  id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
  last_name: Lauritsen
  orcid: 0000-0003-4476-2288
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Lauritsen AB, Seiringer R. Ground state energy of the dilute spin-polarized
    Fermi gas: Upper bound via cluster expansion. <i>Journal of Functional Analysis</i>.
    2024;286(7). doi:<a href="https://doi.org/10.1016/j.jfa.2024.110320">10.1016/j.jfa.2024.110320</a>'
  apa: 'Lauritsen, A. B., &#38; Seiringer, R. (2024). Ground state energy of the dilute
    spin-polarized Fermi gas: Upper bound via cluster expansion. <i>Journal of Functional
    Analysis</i>. Elsevier. <a href="https://doi.org/10.1016/j.jfa.2024.110320">https://doi.org/10.1016/j.jfa.2024.110320</a>'
  chicago: 'Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy
    of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” <i>Journal
    of Functional Analysis</i>. Elsevier, 2024. <a href="https://doi.org/10.1016/j.jfa.2024.110320">https://doi.org/10.1016/j.jfa.2024.110320</a>.'
  ieee: 'A. B. Lauritsen and R. Seiringer, “Ground state energy of the dilute spin-polarized
    Fermi gas: Upper bound via cluster expansion,” <i>Journal of Functional Analysis</i>,
    vol. 286, no. 7. Elsevier, 2024.'
  ista: 'Lauritsen AB, Seiringer R. 2024. Ground state energy of the dilute spin-polarized
    Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis.
    286(7), 110320.'
  mla: 'Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of
    the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” <i>Journal
    of Functional Analysis</i>, vol. 286, no. 7, 110320, Elsevier, 2024, doi:<a href="https://doi.org/10.1016/j.jfa.2024.110320">10.1016/j.jfa.2024.110320</a>.'
  short: A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).
date_created: 2024-02-04T23:00:53Z
date_published: 2024-01-24T00:00:00Z
date_updated: 2024-02-05T12:53:21Z
day: '24'
department:
- _id: RoSe
doi: 10.1016/j.jfa.2024.110320
ec_funded: 1
external_id:
  arxiv:
  - '2301.04894'
intvolume: '       286'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/j.jfa.2024.110320
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
  grant_number: I06427
  name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Journal of Functional Analysis
publication_identifier:
  eissn:
  - 1096--0783
  issn:
  - 0022-1236
publication_status: epub_ahead
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via
  cluster expansion'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 286
year: '2024'
...