---
_id: '5856'
abstract:
- lang: eng
  text: We give a bound on the ground-state energy of a system of N non-interacting
    fermions in a three-dimensional cubic box interacting with an impurity particle
    via point interactions. We show that the change in energy compared to the system
    in the absence of the impurity is bounded in terms of the gas density and the
    scattering length of the interaction, independently of N. Our bound holds as long
    as the ratio of the mass of the impurity to the one of the gas particles is larger
    than a critical value m∗ ∗≈ 0.36 , which is the same regime for which we recently
    showed stability of the system.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Thomas
  full_name: Moser, Thomas
  id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
  last_name: Moser
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Moser T, Seiringer R. Energy contribution of a point-interacting impurity in
    a Fermi gas. <i>Annales Henri Poincare</i>. 2019;20(4):1325–1365. doi:<a href="https://doi.org/10.1007/s00023-018-00757-0">10.1007/s00023-018-00757-0</a>
  apa: Moser, T., &#38; Seiringer, R. (2019). Energy contribution of a point-interacting
    impurity in a Fermi gas. <i>Annales Henri Poincare</i>. Springer. <a href="https://doi.org/10.1007/s00023-018-00757-0">https://doi.org/10.1007/s00023-018-00757-0</a>
  chicago: Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting
    Impurity in a Fermi Gas.” <i>Annales Henri Poincare</i>. Springer, 2019. <a href="https://doi.org/10.1007/s00023-018-00757-0">https://doi.org/10.1007/s00023-018-00757-0</a>.
  ieee: T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity
    in a Fermi gas,” <i>Annales Henri Poincare</i>, vol. 20, no. 4. Springer, pp.
    1325–1365, 2019.
  ista: Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity
    in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.
  mla: Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting
    Impurity in a Fermi Gas.” <i>Annales Henri Poincare</i>, vol. 20, no. 4, Springer,
    2019, pp. 1325–1365, doi:<a href="https://doi.org/10.1007/s00023-018-00757-0">10.1007/s00023-018-00757-0</a>.
  short: T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.
date_created: 2019-01-20T22:59:17Z
date_published: 2019-04-01T00:00:00Z
date_updated: 2023-09-07T12:37:42Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00023-018-00757-0
ec_funded: 1
external_id:
  arxiv:
  - '1807.00739'
  isi:
  - '000462444300008'
file:
- access_level: open_access
  checksum: 255e42f957a8e2b10aad2499c750a8d6
  content_type: application/pdf
  creator: dernst
  date_created: 2019-01-28T15:27:17Z
  date_updated: 2020-07-14T12:47:12Z
  file_id: '5894'
  file_name: 2019_Annales_Moser.pdf
  file_size: 859846
  relation: main_file
file_date_updated: 2020-07-14T12:47:12Z
has_accepted_license: '1'
intvolume: '        20'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 1325–1365
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P27533_N27
  name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Annales Henri Poincare
publication_identifier:
  issn:
  - '14240637'
publication_status: published
publisher: Springer
quality_controlled: '1'
related_material:
  record:
  - id: '52'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Energy contribution of a point-interacting impurity in a Fermi gas
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 20
year: '2019'
...