---
_id: '1436'
abstract:
- lang: eng
text: We study the time evolution of a system of N spinless fermions in R3 which
interact through a pair potential, e.g., the Coulomb potential. We compare the
dynamics given by the solution to Schrödinger's equation with the time-dependent
Hartree-Fock approximation, and we give an estimate for the accuracy of this approximation
in terms of the kinetic energy of the system. This leads, in turn, to bounds in
terms of the initial total energy of the system.
author:
- first_name: Volker
full_name: Bach, Volker
last_name: Bach
- first_name: Sébastien
full_name: Breteaux, Sébastien
last_name: Breteaux
- first_name: Sören P
full_name: Petrat, Sören P
id: 40AC02DC-F248-11E8-B48F-1D18A9856A87
last_name: Petrat
orcid: 0000-0002-9166-5889
- first_name: Peter
full_name: Pickl, Peter
last_name: Pickl
- first_name: Tim
full_name: Tzaneteas, Tim
last_name: Tzaneteas
citation:
ama: Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. Kinetic energy estimates
for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb
interaction. Journal de Mathématiques Pures et Appliquées. 2016;105(1):1-30.
doi:10.1016/j.matpur.2015.09.003
apa: Bach, V., Breteaux, S., Petrat, S. P., Pickl, P., & Tzaneteas, T. (2016).
Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation
with Coulomb interaction. Journal de Mathématiques Pures et Appliquées.
Elsevier. https://doi.org/10.1016/j.matpur.2015.09.003
chicago: Bach, Volker, Sébastien Breteaux, Sören P Petrat, Peter Pickl, and Tim
Tzaneteas. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock
Approximation with Coulomb Interaction.” Journal de Mathématiques Pures et
Appliquées. Elsevier, 2016. https://doi.org/10.1016/j.matpur.2015.09.003.
ieee: V. Bach, S. Breteaux, S. P. Petrat, P. Pickl, and T. Tzaneteas, “Kinetic energy
estimates for the accuracy of the time-dependent Hartree-Fock approximation with
Coulomb interaction,” Journal de Mathématiques Pures et Appliquées, vol.
105, no. 1. Elsevier, pp. 1–30, 2016.
ista: Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. 2016. Kinetic energy
estimates for the accuracy of the time-dependent Hartree-Fock approximation with
Coulomb interaction. Journal de Mathématiques Pures et Appliquées. 105(1), 1–30.
mla: Bach, Volker, et al. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent
Hartree-Fock Approximation with Coulomb Interaction.” Journal de Mathématiques
Pures et Appliquées, vol. 105, no. 1, Elsevier, 2016, pp. 1–30, doi:10.1016/j.matpur.2015.09.003.
short: V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques
Pures et Appliquées 105 (2016) 1–30.
date_created: 2018-12-11T11:52:00Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2021-01-12T06:50:43Z
day: '01'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1016/j.matpur.2015.09.003
ec_funded: 1
file:
- access_level: open_access
checksum: c5afe1f6935bc7f2b546adbde1d31a35
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:10:36Z
date_updated: 2020-07-14T12:44:54Z
file_id: '4825'
file_name: IST-2016-581-v1+1_1-s2.0-S0021782415001191-main.pdf
file_size: 658491
relation: main_file
file_date_updated: 2020-07-14T12:44:54Z
has_accepted_license: '1'
intvolume: ' 105'
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 1 - 30
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Journal de Mathématiques Pures et Appliquées
publication_status: published
publisher: Elsevier
publist_id: '5763'
pubrep_id: '581'
quality_controlled: '1'
scopus_import: 1
status: public
title: Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock
approximation with Coulomb interaction
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 105
year: '2016'
...