Configuration interaction wave functions: a seniority number approach

Autores
Alcoba, Diego Ricardo; Torre, Alicia; Lain, Luis; Massaccesi, Gustavo Ernesto; Oña, Ofelia Beatriz
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This work deals with the configuration interaction method when an N-electron Hamiltonian is projected on Slater determinants which are classified according to their seniority number values. We study the spin features of the wave functions and the size of the matrices required to formulate states of any spin symmetry within this treatment. Correlation energies associated with the wave functions arising from the seniority-based configuration interaction procedure are determined for three types of molecular orbital basis: canonical molecular orbitals, natural orbitals, and the orbitals resulting from minimizing the expectation value of the N-electron seniority number operator. The performance of these bases is analyzed by means of numerical results obtained from selected N-electron systems of several spin symmetries. The comparison of the results highlights the efficiency of the molecular orbital basis which minimizes the mean value of the seniority number for a state, yielding energy values closer to those provided by the full configuration interaction procedure.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Física
Configuration interaction
Seniority number
Hamiltonian projected
Wave function
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/104630
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/104630
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Configuration interaction wave functions: a seniority number approachAlcoba, Diego RicardoTorre, AliciaLain, LuisMassaccesi, Gustavo ErnestoOña, Ofelia BeatrizFísicaConfiguration interactionSeniority numberHamiltonian projectedWave functionThis work deals with the configuration interaction method when an N-electron Hamiltonian is projected on Slater determinants which are classified according to their seniority number values. We study the spin features of the wave functions and the size of the matrices required to formulate states of any spin symmetry within this treatment. Correlation energies associated with the wave functions arising from the seniority-based configuration interaction procedure are determined for three types of molecular orbital basis: canonical molecular orbitals, natural orbitals, and the orbitals resulting from minimizing the expectation value of the N-electron seniority number operator. The performance of these bases is analyzed by means of numerical results obtained from selected N-electron systems of several spin symmetries. The comparison of the results highlights the efficiency of the molecular orbital basis which minimizes the mean value of the seniority number for a state, yielding energy values closer to those provided by the full configuration interaction procedure.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2014-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/104630enginfo:eu-repo/semantics/altIdentifier/url/http://hdl.handle.net/11336/5176info:eu-repo/semantics/altIdentifier/issn/0021-9606info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4882881info:eu-repo/semantics/altIdentifier/hdl/11336/5176info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:22:42Zoai:sedici.unlp.edu.ar:10915/104630Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:22:43.306SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Configuration interaction wave functions: a seniority number approach
title Configuration interaction wave functions: a seniority number approach
spellingShingle Configuration interaction wave functions: a seniority number approach
Alcoba, Diego Ricardo
Física
Configuration interaction
Seniority number
Hamiltonian projected
Wave function
title_short Configuration interaction wave functions: a seniority number approach
title_full Configuration interaction wave functions: a seniority number approach
title_fullStr Configuration interaction wave functions: a seniority number approach
title_full_unstemmed Configuration interaction wave functions: a seniority number approach
title_sort Configuration interaction wave functions: a seniority number approach
dc.creator.none.fl_str_mv Alcoba, Diego Ricardo
Torre, Alicia
Lain, Luis
Massaccesi, Gustavo Ernesto
Oña, Ofelia Beatriz
author Alcoba, Diego Ricardo
author_facet Alcoba, Diego Ricardo
Torre, Alicia
Lain, Luis
Massaccesi, Gustavo Ernesto
Oña, Ofelia Beatriz
author_role author
author2 Torre, Alicia
Lain, Luis
Massaccesi, Gustavo Ernesto
Oña, Ofelia Beatriz
author2_role author
author
author
author
dc.subject.none.fl_str_mv Física
Configuration interaction
Seniority number
Hamiltonian projected
Wave function
topic Física
Configuration interaction
Seniority number
Hamiltonian projected
Wave function
dc.description.none.fl_txt_mv This work deals with the configuration interaction method when an N-electron Hamiltonian is projected on Slater determinants which are classified according to their seniority number values. We study the spin features of the wave functions and the size of the matrices required to formulate states of any spin symmetry within this treatment. Correlation energies associated with the wave functions arising from the seniority-based configuration interaction procedure are determined for three types of molecular orbital basis: canonical molecular orbitals, natural orbitals, and the orbitals resulting from minimizing the expectation value of the N-electron seniority number operator. The performance of these bases is analyzed by means of numerical results obtained from selected N-electron systems of several spin symmetries. The comparison of the results highlights the efficiency of the molecular orbital basis which minimizes the mean value of the seniority number for a state, yielding energy values closer to those provided by the full configuration interaction procedure.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description This work deals with the configuration interaction method when an N-electron Hamiltonian is projected on Slater determinants which are classified according to their seniority number values. We study the spin features of the wave functions and the size of the matrices required to formulate states of any spin symmetry within this treatment. Correlation energies associated with the wave functions arising from the seniority-based configuration interaction procedure are determined for three types of molecular orbital basis: canonical molecular orbitals, natural orbitals, and the orbitals resulting from minimizing the expectation value of the N-electron seniority number operator. The performance of these bases is analyzed by means of numerical results obtained from selected N-electron systems of several spin symmetries. The comparison of the results highlights the efficiency of the molecular orbital basis which minimizes the mean value of the seniority number for a state, yielding energy values closer to those provided by the full configuration interaction procedure.
publishDate 2014
dc.date.none.fl_str_mv 2014-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/104630
url http://sedici.unlp.edu.ar/handle/10915/104630
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://hdl.handle.net/11336/5176
info:eu-repo/semantics/altIdentifier/issn/0021-9606
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4882881
info:eu-repo/semantics/altIdentifier/hdl/11336/5176
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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