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dc.date.accessioned 2019-11-04T13:04:37Z
dc.date.available 2019-11-04T13:04:37Z
dc.date.issued 2012
dc.identifier.uri http://sedici.unlp.edu.ar/handle/10915/84703
dc.description.abstract We establish geometric properties of Stiefel and Grassmann manifolds which arise in relation to Slater type variational spaces in many-particle Hartree-Fock theory and beyond. In particular, we prove that they are analytic homogeneous spaces and submanifolds of the space of bounded operators on the single-particle Hilbert space. As a by-product we obtain that they are complete Finsler manifolds. These geometric properties underpin state-of-the-art results on the existence of solutions to Hartree-Fock type equations. en
dc.format.extent 1866-1881 es
dc.language en es
dc.subject Banach-Lie group es
dc.subject Finsler manifold es
dc.subject Homogeneous space es
dc.subject Variational spaces in Hartree-Fock theory es
dc.title Stiefel and Grassmann manifolds in quantum chemistry en
dc.type Articulo es
sedici.identifier.other doi:10.1016/j.geomphys.2012.04.005 es
sedici.identifier.other eid:2-s2.0-84861010473 es
sedici.identifier.issn 0393-0440 es
sedici.creator.person Chiumiento, Eduardo Hernán es
sedici.creator.person Melgaard, M. es
sedici.subject.materias Matemática es
sedici.description.fulltext true es
mods.originInfo.place Facultad de Ciencias Exactas es
sedici.subtype Articulo es
sedici.rights.license Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
sedici.rights.uri http://creativecommons.org/licenses/by-nc-sa/4.0/
sedici.description.peerReview peer-review es
sedici.relation.journalTitle Journal of Geometry and Physics es
sedici.relation.journalVolumeAndIssue vol. 62, no. 8 es
sedici.rights.sherpa * Color: verde* Pre-print del autor: si* Post-print del autor: si* Versión de editor/PDF:no* Condiciones:>>Authors pre-print on any website, including arXiv and RePEC>>Author's post-print on author's personal website immediately>>Author's post-print on open access repository after an embargo period of between 12 months and 48 months>>Permitted deposit due to Funding Body, Institutional and Governmental policy or mandate, may be required to comply with embargo periods of 12 months to 48 months>>Author's post-print may be used to update arXiv and RepEC>>La versión de editor/PDF no puede utilizarse>>Debe enlazar a la versión de editor con DOI>>Author's post-print must be released with a Creative Commons Attribution Non-Commercial No Derivatives License>>Publisher last reviewed on 03/06/2015* Link a Sherpa: http://sherpa.ac.uk/romeo/issn/0393-0440/es/


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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) Excepto donde se diga explícitamente, este item se publica bajo la siguiente licencia Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)