---
OA_place: repository
OA_type: green
_id: '2337'
abstract:
- lang: eng
  text: The ground state of a gas of Bosons confined in an external trap potential
    and interacting via repulsive two-body forces has recently been shown to exhibit
    complete Bose-Einstein condensation in the dilute limit, yielding for the first
    time a rigorous proof of this phenomenon in a physically realistic setting. We
    give here an account of this work about the Gross-Pitaevskii limit where the particle
    number  goes to infinity with  fixed, where  is the scattering length of the interparticle
    interaction, measured in units of the trap size.
alternative_title:
- Contemporary Mathematics
article_processing_charge: No
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
citation:
  ama: 'Lieb É, Seiringer R. Bose-Einstein condensation of dilute gases in traps .
    In: Vol 327. American Mathematical Society; 2003:239-250. doi:<a href="https://doi.org/10.48550/arXiv.math-ph/0210028">10.48550/arXiv.math-ph/0210028</a>'
  apa: Lieb, É., &#38; Seiringer, R. (2003). Bose-Einstein condensation of dilute
    gases in traps  (Vol. 327, pp. 239–250). Presented at the Differential Equations
    and Mathematical Physics, American Mathematical Society. <a href="https://doi.org/10.48550/arXiv.math-ph/0210028">https://doi.org/10.48550/arXiv.math-ph/0210028</a>
  chicago: Lieb, Élliott, and Robert Seiringer. “Bose-Einstein Condensation of Dilute
    Gases in Traps ,” 327:239–50. American Mathematical Society, 2003. <a href="https://doi.org/10.48550/arXiv.math-ph/0210028">https://doi.org/10.48550/arXiv.math-ph/0210028</a>.
  ieee: É. Lieb and R. Seiringer, “Bose-Einstein condensation of dilute gases in traps
    ,” presented at the Differential Equations and Mathematical Physics, 2003, vol.
    327, pp. 239–250.
  ista: Lieb É, Seiringer R. 2003. Bose-Einstein condensation of dilute gases in traps
    . Differential Equations and Mathematical Physics, Contemporary Mathematics, vol.
    327, 239–250.
  mla: Lieb, Élliott, and Robert Seiringer. <i>Bose-Einstein Condensation of Dilute
    Gases in Traps </i>. Vol. 327, American Mathematical Society, 2003, pp. 239–50,
    doi:<a href="https://doi.org/10.48550/arXiv.math-ph/0210028">10.48550/arXiv.math-ph/0210028</a>.
  short: É. Lieb, R. Seiringer, in:, American Mathematical Society, 2003, pp. 239–250.
conference:
  name: Differential Equations and Mathematical Physics
date_created: 2018-12-11T11:57:04Z
date_published: 2003-01-01T00:00:00Z
date_updated: 2026-05-28T11:35:43Z
day: '01'
doi: 10.48550/arXiv.math-ph/0210028
extern: '1'
external_id:
  arxiv:
  - '0210028'
intvolume: '       327'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.math-ph/0210028'
month: '01'
oa: 1
oa_version: Preprint
page: 239 - 250
publication_status: published
publisher: American Mathematical Society
publist_id: '4589'
quality_controlled: '1'
status: public
title: 'Bose-Einstein condensation of dilute gases in traps '
type: conference
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 327
year: '2003'
...