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L2 Analysis of the Multi-Configuration Time-Dependent Hartree-Fock Equations

dc.contributor.authorMauser, Norbert
dc.contributor.authorTrabelsi, Saber
dc.date.accessioned2013-11-22T12:49:07Z
dc.date.available2013-11-22T12:49:07Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/12145
dc.language.isoenen
dc.subjectMulti-configuration methodsen
dc.subjectHartree-Fock equationsen
dc.subjectStrichartz estimatesen
dc.subjectregularityen
dc.subjectexistenceen
dc.subject.ddc520en
dc.titleL2 Analysis of the Multi-Configuration Time-Dependent Hartree-Fock Equationsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe multi-configuration methods are widely used by quantum physicists/chemists for numerical approximation of the many electron Schrödinger equation. Recently, first mathematically rigorous results were obtained on the time-dependent models, e.g. short-in-time well-posedness in the Sobolev space H2 for bounded interactions20 with initial data in H2, in the energy space for Coulomb interactions with initial data in the same space,25,5 as well as global well-posedness under a sufficient condition on the energy of the initial data.4,5 The present contribution extends the analysis by setting an L2 theory for the MCTDHF for general interactions including the Coulomb case. This kind of results is also the theoretical foundation of ad hoc methods used in numerical calculation when modification ("regularization") of the density matrix destroys the conservation of energy property, but keeps the mass invariant.en
dc.relation.isversionofjnlnameMathematical Models and Methods in Applied Sciences
dc.relation.isversionofjnlvol20en
dc.relation.isversionofjnlissue11en
dc.relation.isversionofjnldate2010
dc.relation.isversionofdoihttp://dx.doi.org/10.1142/S0218202510004842en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00453962en
dc.relation.isversionofjnlpublisherWorld Scientificen
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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