---
_id: '739'
abstract:
- lang: eng
text: We study the norm approximation to the Schrödinger dynamics of N bosons in
with an interaction potential of the form . Assuming that in the initial state
the particles outside of the condensate form a quasi-free state with finite kinetic
energy, we show that in the large N limit, the fluctuations around the condensate
can be effectively described using Bogoliubov approximation for all . The range
of β is expected to be optimal for this large class of initial states.
article_processing_charge: No
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
citation:
ama: Nam P, Napiórkowski MM. A note on the validity of Bogoliubov correction to
mean field dynamics. Journal de Mathématiques Pures et Appliquées. 2017;108(5):662-688.
doi:10.1016/j.matpur.2017.05.013
apa: Nam, P., & Napiórkowski, M. M. (2017). A note on the validity of Bogoliubov
correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées.
Elsevier. https://doi.org/10.1016/j.matpur.2017.05.013
chicago: Nam, Phan, and Marcin M Napiórkowski. “A Note on the Validity of Bogoliubov
Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées.
Elsevier, 2017. https://doi.org/10.1016/j.matpur.2017.05.013.
ieee: P. Nam and M. M. Napiórkowski, “A note on the validity of Bogoliubov correction
to mean field dynamics,” Journal de Mathématiques Pures et Appliquées,
vol. 108, no. 5. Elsevier, pp. 662–688, 2017.
ista: Nam P, Napiórkowski MM. 2017. A note on the validity of Bogoliubov correction
to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 108(5),
662–688.
mla: Nam, Phan, and Marcin M. Napiórkowski. “A Note on the Validity of Bogoliubov
Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées,
vol. 108, no. 5, Elsevier, 2017, pp. 662–88, doi:10.1016/j.matpur.2017.05.013.
short: P. Nam, M.M. Napiórkowski, Journal de Mathématiques Pures et Appliquées 108
(2017) 662–688.
date_created: 2018-12-11T11:48:15Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2023-09-27T12:52:07Z
day: '01'
department:
- _id: RoSe
doi: 10.1016/j.matpur.2017.05.013
external_id:
isi:
- '000414113600003'
intvolume: ' 108'
isi: 1
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1604.05240
month: '11'
oa: 1
oa_version: Submitted Version
page: 662 - 688
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Journal de Mathématiques Pures et Appliquées
publication_identifier:
issn:
- '00217824'
publication_status: published
publisher: Elsevier
publist_id: '6928'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A note on the validity of Bogoliubov correction to mean field dynamics
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 108
year: '2017'
...