--- _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' ...