dc.contributor.author Bach, V. dc.contributor.author Breteaux, S. dc.contributor.author Petrat, S. dc.contributor.author Pickl, P. dc.contributor.author Tzaneteas, T. dc.date.accessioned 2016-06-13T13:32:50Z dc.date.available 2016-06-13T13:32:50Z dc.date.issued 2016-01-01 dc.identifier.issn 0021-7824 dc.identifier.uri http://hdl.handle.net/20.500.11824/175 dc.description.abstract We study the time evolution of a system of $N$ spinless fermions in $\mathbb{R}^3$ 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. dc.format application/pdf dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject Hartree-Fock dc.subject Many-body theory dc.subject Mean-field limit for fermions dc.title Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction en_US dc.type info:eu-repo/semantics/article en_US dc.identifier.doi 10.1016/j.matpur.2015.09.003 dc.relation.publisherversion http://www.sciencedirect.com/science/article/pii/S0021782415001191 dc.relation.projectID ES/1PE/SEV-2013-0323 en_US dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/660021 en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/submittedVersion en_US dc.journal.title Journal des Mathematiques Pures et Appliquees en_US
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