Show simple item record

dc.contributor.authorBach, V.
dc.contributor.authorBreteaux, S.
dc.contributor.authorPetrat, S.
dc.contributor.authorPickl, P.
dc.contributor.authorTzaneteas, T.
dc.date.accessioned2016-06-13T13:32:50Z
dc.date.available2016-06-13T13:32:50Z
dc.date.issued2016-01-01
dc.identifier.issn0021-7824
dc.identifier.urihttp://hdl.handle.net/20.500.11824/175
dc.description.abstractWe 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.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectHartree-Fock
dc.subjectMany-body theory
dc.subjectMean-field limit for fermions
dc.titleKinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interactionen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.matpur.2015.09.003
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0021782415001191
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/660021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersionen_US
dc.journal.titleJournal des Mathematiques Pures et Appliqueesen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España