---
_id: '10814'
abstract:
- lang: eng
text: We review recent progress towards a rigorous understanding of the excitation
spectrum of bosonic quantum many-body systems. In particular, we explain how one
can rigorously establish the predictions resulting from the Bogoliubov approximation
in the mean field limit. The latter predicts that the spectrum is made up of elementary
excitations, whose energy behaves linearly in the momentum for small momentum.
This property is crucial for the superfluid behavior of the system. We also discuss
a list of open problems in this field.
article_processing_charge: No
article_type: original
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. The excitation spectrum for Bose fluids with weak interactions.
Jahresbericht der Deutschen Mathematiker-Vereinigung. 2014;116:21-41. doi:10.1365/s13291-014-0083-9
apa: Seiringer, R. (2014). The excitation spectrum for Bose fluids with weak interactions.
Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature.
https://doi.org/10.1365/s13291-014-0083-9
chicago: Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.”
Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature,
2014. https://doi.org/10.1365/s13291-014-0083-9.
ieee: R. Seiringer, “The excitation spectrum for Bose fluids with weak interactions,”
Jahresbericht der Deutschen Mathematiker-Vereinigung, vol. 116. Springer
Nature, pp. 21–41, 2014.
ista: Seiringer R. 2014. The excitation spectrum for Bose fluids with weak interactions.
Jahresbericht der Deutschen Mathematiker-Vereinigung. 116, 21–41.
mla: Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.”
Jahresbericht Der Deutschen Mathematiker-Vereinigung, vol. 116, Springer
Nature, 2014, pp. 21–41, doi:10.1365/s13291-014-0083-9.
short: R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014)
21–41.
date_created: 2022-03-04T07:54:39Z
date_published: 2014-03-01T00:00:00Z
date_updated: 2023-09-05T14:19:47Z
day: '01'
department:
- _id: RoSe
doi: 10.1365/s13291-014-0083-9
intvolume: ' 116'
keyword:
- General Medicine
language:
- iso: eng
month: '03'
oa_version: None
page: 21-41
publication: Jahresbericht der Deutschen Mathematiker-Vereinigung
publication_identifier:
eissn:
- 1869-7135
issn:
- 0012-0456
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The excitation spectrum for Bose fluids with weak interactions
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 116
year: '2014'
...