---
_id: '2344'
abstract:
- lang: eng
  text: The ground-state properties of interacting Bose gases in external potentials,
    as considered in recent experiments, are usually described by means of the Gross-Pitaevskii
    energy functional. We present here a rigorous proof of the asymptotic exactness
    of this approximation for the ground-state energy and particle density of a dilute
    Bose gas with a positive interaction.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Élliott
  full_name: Lieb, Élliott
  last_name: Lieb
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jakob
  full_name: Yngvason, Jakob
  last_name: Yngvason
citation:
  ama: 'Lieb É, Seiringer R, Yngvason J. Bosons in a trap: A rigorous derivation of
    the Gross-Pitaevskii energy functional. <i>Physical Review A - Atomic, Molecular,
    and Optical Physics</i>. 2000;61(4):436021-4360213. doi:<a href="https://doi.org/10.1103/PhysRevA.61.043602">10.1103/PhysRevA.61.043602</a>'
  apa: 'Lieb, É., Seiringer, R., &#38; Yngvason, J. (2000). Bosons in a trap: A rigorous
    derivation of the Gross-Pitaevskii energy functional. <i>Physical Review A - Atomic,
    Molecular, and Optical Physics</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevA.61.043602">https://doi.org/10.1103/PhysRevA.61.043602</a>'
  chicago: 'Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bosons in a Trap:
    A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.” <i>Physical
    Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society,
    2000. <a href="https://doi.org/10.1103/PhysRevA.61.043602">https://doi.org/10.1103/PhysRevA.61.043602</a>.'
  ieee: 'É. Lieb, R. Seiringer, and J. Yngvason, “Bosons in a trap: A rigorous derivation
    of the Gross-Pitaevskii energy functional,” <i>Physical Review A - Atomic, Molecular,
    and Optical Physics</i>, vol. 61, no. 4. American Physical Society, pp. 436021–4360213,
    2000.'
  ista: 'Lieb É, Seiringer R, Yngvason J. 2000. Bosons in a trap: A rigorous derivation
    of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular,
    and Optical Physics. 61(4), 436021–4360213.'
  mla: 'Lieb, Élliott, et al. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii
    Energy Functional.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>,
    vol. 61, no. 4, American Physical Society, 2000, pp. 436021–4360213, doi:<a href="https://doi.org/10.1103/PhysRevA.61.043602">10.1103/PhysRevA.61.043602</a>.'
  short: É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular,
    and Optical Physics 61 (2000) 436021–4360213.
date_created: 2018-12-11T11:57:07Z
date_published: 2000-04-01T00:00:00Z
date_updated: 2023-05-03T12:47:08Z
day: '01'
doi: 10.1103/PhysRevA.61.043602
extern: '1'
external_id:
  arxiv:
  - math-ph/9908027
intvolume: '        61'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/9908027
month: '04'
oa: 1
oa_version: Published Version
page: 436021 - 4360213
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_identifier:
  issn:
  - 0556-2791
publication_status: published
publisher: American Physical Society
publist_id: '4583'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 61
year: '2000'
...