{"publication_status":"published","date_published":"2016-01-01T00:00:00Z","issue":"1","department":[{"_id":"RoSe"}],"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."}],"file":[{"checksum":"c5afe1f6935bc7f2b546adbde1d31a35","relation":"main_file","access_level":"open_access","creator":"system","file_name":"IST-2016-581-v1+1_1-s2.0-S0021782415001191-main.pdf","content_type":"application/pdf","date_updated":"2020-07-14T12:44:54Z","file_size":658491,"date_created":"2018-12-12T10:10:36Z","file_id":"4825"}],"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","type":"journal_article","day":"01","month":"01","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","short":"CC BY-NC-ND (4.0)"},"date_updated":"2021-01-12T06:50:43Z","quality_controlled":"1","title":"Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction","status":"public","oa":1,"oa_version":"Published Version","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","date_created":"2018-12-11T11:52:00Z","publisher":"Elsevier","scopus_import":1,"ec_funded":1,"citation":{"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,” <i>Journal de Mathématiques Pures et Appliquées</i>, vol. 105, no. 1. Elsevier, pp. 1–30, 2016.","mla":"Bach, Volker, et al. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction.” <i>Journal de Mathématiques Pures et Appliquées</i>, vol. 105, no. 1, Elsevier, 2016, pp. 1–30, doi:<a href=\"https://doi.org/10.1016/j.matpur.2015.09.003\">10.1016/j.matpur.2015.09.003</a>.","short":"V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques Pures et Appliquées 105 (2016) 1–30.","apa":"Bach, V., Breteaux, S., Petrat, S. P., Pickl, P., &#38; Tzaneteas, T. (2016). Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. <i>Journal de Mathématiques Pures et Appliquées</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.matpur.2015.09.003\">https://doi.org/10.1016/j.matpur.2015.09.003</a>","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.","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.” <i>Journal de Mathématiques Pures et Appliquées</i>. Elsevier, 2016. <a href=\"https://doi.org/10.1016/j.matpur.2015.09.003\">https://doi.org/10.1016/j.matpur.2015.09.003</a>.","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. <i>Journal de Mathématiques Pures et Appliquées</i>. 2016;105(1):1-30. doi:<a href=\"https://doi.org/10.1016/j.matpur.2015.09.003\">10.1016/j.matpur.2015.09.003</a>"},"pubrep_id":"581","language":[{"iso":"eng"}],"_id":"1436","doi":"10.1016/j.matpur.2015.09.003","page":"1 - 30","author":[{"full_name":"Bach, Volker","last_name":"Bach","first_name":"Volker"},{"full_name":"Breteaux, Sébastien","first_name":"Sébastien","last_name":"Breteaux"},{"orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P","last_name":"Petrat"},{"full_name":"Pickl, Peter","last_name":"Pickl","first_name":"Peter"},{"first_name":"Tim","last_name":"Tzaneteas","full_name":"Tzaneteas, Tim"}],"publication":"Journal de Mathématiques Pures et Appliquées","has_accepted_license":"1","file_date_updated":"2020-07-14T12:44:54Z","ddc":["510","530"],"project":[{"call_identifier":"FP7","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425"}],"intvolume":"       105","publist_id":"5763","volume":105,"year":"2016"}