---
_id: '8042'
abstract:
- lang: eng
  text: We consider systems of N bosons in a box of volume one, interacting through
    a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for
    sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov
    theory, identifying the ground state energy and the low-lying excitation spectrum
    up to errors that vanish in the limit of large N.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Chiara
  full_name: Boccato, Chiara
  id: 342E7E22-F248-11E8-B48F-1D18A9856A87
  last_name: Boccato
- first_name: Christian
  full_name: Brennecke, Christian
  last_name: Brennecke
- first_name: Serena
  full_name: Cenatiempo, Serena
  last_name: Cenatiempo
- first_name: Benjamin
  full_name: Schlein, Benjamin
  last_name: Schlein
citation:
  ama: Boccato C, Brennecke C, Cenatiempo S, Schlein B. The excitation spectrum of
    Bose gases interacting through singular potentials. <i>Journal of the European
    Mathematical Society</i>. 2020;22(7):2331-2403. doi:<a href="https://doi.org/10.4171/JEMS/966">10.4171/JEMS/966</a>
  apa: Boccato, C., Brennecke, C., Cenatiempo, S., &#38; Schlein, B. (2020). The excitation
    spectrum of Bose gases interacting through singular potentials. <i>Journal of
    the European Mathematical Society</i>. European Mathematical Society. <a href="https://doi.org/10.4171/JEMS/966">https://doi.org/10.4171/JEMS/966</a>
  chicago: Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein.
    “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.”
    <i>Journal of the European Mathematical Society</i>. European Mathematical Society,
    2020. <a href="https://doi.org/10.4171/JEMS/966">https://doi.org/10.4171/JEMS/966</a>.
  ieee: C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “The excitation spectrum
    of Bose gases interacting through singular potentials,” <i>Journal of the European
    Mathematical Society</i>, vol. 22, no. 7. European Mathematical Society, pp. 2331–2403,
    2020.
  ista: Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. The excitation spectrum
    of Bose gases interacting through singular potentials. Journal of the European
    Mathematical Society. 22(7), 2331–2403.
  mla: Boccato, Chiara, et al. “The Excitation Spectrum of Bose Gases Interacting
    through Singular Potentials.” <i>Journal of the European Mathematical Society</i>,
    vol. 22, no. 7, European Mathematical Society, 2020, pp. 2331–403, doi:<a href="https://doi.org/10.4171/JEMS/966">10.4171/JEMS/966</a>.
  short: C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Journal of the European
    Mathematical Society 22 (2020) 2331–2403.
date_created: 2020-06-29T07:59:35Z
date_published: 2020-07-01T00:00:00Z
date_updated: 2023-08-22T07:47:04Z
day: '01'
department:
- _id: RoSe
doi: 10.4171/JEMS/966
external_id:
  arxiv:
  - '1704.04819'
  isi:
  - '000548174700006'
intvolume: '        22'
isi: 1
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1704.04819
month: '07'
oa: 1
oa_version: Preprint
page: 2331-2403
publication: Journal of the European Mathematical Society
publication_identifier:
  issn:
  - '14359855'
publication_status: published
publisher: European Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: The excitation spectrum of Bose gases interacting through singular potentials
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 22
year: '2020'
...