---
_id: '5813'
abstract:
- lang: eng
  text: We consider homogeneous Bose gas in a large cubic box with periodic boundary
    conditions, at zero temperature. We analyze its excitation spectrum in a certain
    kind of a mean-field infinite-volume limit. We prove that under appropriate conditions
    the excitation spectrum has the form predicted by the Bogoliubov approximation.
    Our result can be viewed as an extension of the result of Seiringer (Commun. Math.
    Phys.306:565–578, 2011) to large volumes.
article_processing_charge: No
author:
- first_name: Jan
  full_name: Dereziński, Jan
  last_name: Dereziński
- first_name: Marcin M
  full_name: Napiórkowski, Marcin M
  id: 4197AD04-F248-11E8-B48F-1D18A9856A87
  last_name: Napiórkowski
citation:
  ama: Dereziński J, Napiórkowski MM. Excitation spectrum of interacting bosons in
    the Mean-Field Infinite-Volume limit. <i>Annales Henri Poincaré</i>. 2014;15(12):2409-2439.
    doi:<a href="https://doi.org/10.1007/s00023-013-0302-4">10.1007/s00023-013-0302-4</a>
  apa: Dereziński, J., &#38; Napiórkowski, M. M. (2014). Excitation spectrum of interacting
    bosons in the Mean-Field Infinite-Volume limit. <i>Annales Henri Poincaré</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s00023-013-0302-4">https://doi.org/10.1007/s00023-013-0302-4</a>
  chicago: Dereziński, Jan, and Marcin M Napiórkowski. “Excitation Spectrum of Interacting
    Bosons in the Mean-Field Infinite-Volume Limit.” <i>Annales Henri Poincaré</i>.
    Springer Nature, 2014. <a href="https://doi.org/10.1007/s00023-013-0302-4">https://doi.org/10.1007/s00023-013-0302-4</a>.
  ieee: J. Dereziński and M. M. Napiórkowski, “Excitation spectrum of interacting
    bosons in the Mean-Field Infinite-Volume limit,” <i>Annales Henri Poincaré</i>,
    vol. 15, no. 12. Springer Nature, pp. 2409–2439, 2014.
  ista: Dereziński J, Napiórkowski MM. 2014. Excitation spectrum of interacting bosons
    in the Mean-Field Infinite-Volume limit. Annales Henri Poincaré. 15(12), 2409–2439.
  mla: Dereziński, Jan, and Marcin M. Napiórkowski. “Excitation Spectrum of Interacting
    Bosons in the Mean-Field Infinite-Volume Limit.” <i>Annales Henri Poincaré</i>,
    vol. 15, no. 12, Springer Nature, 2014, pp. 2409–39, doi:<a href="https://doi.org/10.1007/s00023-013-0302-4">10.1007/s00023-013-0302-4</a>.
  short: J. Dereziński, M.M. Napiórkowski, Annales Henri Poincaré 15 (2014) 2409–2439.
date_created: 2019-01-10T09:02:58Z
date_published: 2014-01-10T00:00:00Z
date_updated: 2021-11-16T08:13:24Z
day: '10'
ddc:
- '530'
doi: 10.1007/s00023-013-0302-4
extern: '1'
file:
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  creator: dernst
  date_created: 2019-01-10T09:04:45Z
  date_updated: 2020-07-14T12:47:11Z
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file_date_updated: 2020-07-14T12:47:11Z
has_accepted_license: '1'
intvolume: '        15'
issue: '12'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '01'
oa: 1
oa_version: Published Version
page: 2409-2439
publication: Annales Henri Poincaré
publication_identifier:
  issn:
  - 1424-0637
  - 1424-0661
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - relation: erratum
    url: https://doi.org/10.1007/s00023-014-0390-9
status: public
title: Excitation spectrum of interacting bosons in the Mean-Field Infinite-Volume
  limit
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: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 15
year: '2014'
...