---
_id: '1821'
abstract:
- lang: eng
  text: We review recent progress towards a rigorous understanding of the Bogoliubov
    approximation for bosonic quantum many-body systems. We focus, in particular,
    on the excitation spectrum of a Bose gas in the mean-field (Hartree) limit. A
    list of open problems will be discussed at the end.
article_number: '1.4881536'
article_processing_charge: No
author:
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Seiringer R. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation.
    <i>Journal of Mathematical Physics</i>. 2014;55(7). doi:<a href="https://doi.org/10.1063/1.4881536">10.1063/1.4881536</a>
  apa: Seiringer, R. (2014). Bose gases, Bose-Einstein condensation, and the Bogoliubov
    approximation. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/1.4881536">https://doi.org/10.1063/1.4881536</a>
  chicago: Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov
    Approximation.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2014.
    <a href="https://doi.org/10.1063/1.4881536">https://doi.org/10.1063/1.4881536</a>.
  ieee: R. Seiringer, “Bose gases, Bose-Einstein condensation, and the Bogoliubov
    approximation,” <i>Journal of Mathematical Physics</i>, vol. 55, no. 7. AIP Publishing,
    2014.
  ista: Seiringer R. 2014. Bose gases, Bose-Einstein condensation, and the Bogoliubov
    approximation. Journal of Mathematical Physics. 55(7), 1.4881536.
  mla: Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov
    Approximation.” <i>Journal of Mathematical Physics</i>, vol. 55, no. 7, 1.4881536,
    AIP Publishing, 2014, doi:<a href="https://doi.org/10.1063/1.4881536">10.1063/1.4881536</a>.
  short: R. Seiringer, Journal of Mathematical Physics 55 (2014).
corr_author: '1'
date_created: 2018-12-11T11:54:11Z
date_published: 2014-06-26T00:00:00Z
date_updated: 2026-08-12T13:58:01Z
day: '26'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1063/1.4881536
external_id:
  isi:
  - '000341174600010'
file:
- access_level: open_access
  checksum: ed0efc93c10f1341155f0316af617b82
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:15:49Z
  date_updated: 2020-07-14T12:45:17Z
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  file_name: IST-2016-532-v1+1_J._Mathematical_Phys._2014_Seiringer.pdf
  file_size: 269171
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file_date_updated: 2020-07-14T12:45:17Z
has_accepted_license: '1'
intvolume: '        55'
isi: 1
issue: '7'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
publication: Journal of Mathematical Physics
publication_status: published
publisher: AIP Publishing
publist_id: '5285'
pubrep_id: '532'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 55
year: '2014'
...