Stiefel and Grassmann manifolds in quantum chemistry

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...

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Autores principales: Chiumiento, Eduardo Hernán, Melgaard, M.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Matemática
Banach-Lie group
Finsler manifold
Homogeneous space
Variational spaces in Hartree-Fock theory
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84703
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-84703
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Banach-Lie group
Finsler manifold
Homogeneous space
Variational spaces in Hartree-Fock theory
spellingShingle Matemática
Banach-Lie group
Finsler manifold
Homogeneous space
Variational spaces in Hartree-Fock theory
Chiumiento, Eduardo Hernán
Melgaard, M.
Stiefel and Grassmann manifolds in quantum chemistry
topic_facet Matemática
Banach-Lie group
Finsler manifold
Homogeneous space
Variational spaces in Hartree-Fock theory
description 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.
format Articulo
Articulo
author Chiumiento, Eduardo Hernán
Melgaard, M.
author_facet Chiumiento, Eduardo Hernán
Melgaard, M.
author_sort Chiumiento, Eduardo Hernán
title Stiefel and Grassmann manifolds in quantum chemistry
title_short Stiefel and Grassmann manifolds in quantum chemistry
title_full Stiefel and Grassmann manifolds in quantum chemistry
title_fullStr Stiefel and Grassmann manifolds in quantum chemistry
title_full_unstemmed Stiefel and Grassmann manifolds in quantum chemistry
title_sort stiefel and grassmann manifolds in quantum chemistry
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/84703
work_keys_str_mv AT chiumientoeduardohernan stiefelandgrassmannmanifoldsinquantumchemistry
AT melgaardm stiefelandgrassmannmanifoldsinquantumchemistry
bdutipo_str Repositorios
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