Performance of Shannon-entropy compacted N-electron wave functions for configuration interaction methods

Autores
Alcoba, Diego Ricardo; Torre, Alicia; Lain, Luis; Massaccesi, Gustavo E.; Oña, Ofelia Beatriz; Ayers, Paul W.; Van Raemdonck, Mario; Bultinck, Patrick; Van Neck, Dimitri
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The coefficients of full configuration interaction wave functions (FCI) for N-electron systems expanded in N-electron Slater determinants depend on the orthonormal one-particle basis chosen although the total energy remains invariant. Some bases result in more compact wave functions, i.e. result in fewer determinants with significant expansion coefficients. In this work, the Shannon entropy, as a measure of information content, is evaluated for such wave functions to examine whether there is a relationship between the FCI Shannon entropy of a given basis and the performance of that basis in truncated CI approaches. The results obtained for a set of randomly picked bases are compared to those obtained using the traditional canonical molecular orbitals, natural orbitals, seniority minimising orbitals and a basis that derives from direct minimisation of the Shannon entropy. FCI calculations for selected atomic and molecular systems clearly reflect the influence of the chosen basis. However, it is found that there is no direct relationship between the entropy computed for each basis and truncated CI energies.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Física
Entropy
Configuration interaction
Seniority
DOCI
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:10915/127045

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network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Performance of Shannon-entropy compacted N-electron wave functions for configuration interaction methodsAlcoba, Diego RicardoTorre, AliciaLain, LuisMassaccesi, Gustavo E.Oña, Ofelia BeatrizAyers, Paul W.Van Raemdonck, MarioBultinck, PatrickVan Neck, DimitriFísicaEntropyConfiguration interactionSeniorityDOCIThe coefficients of full configuration interaction wave functions (FCI) for N-electron systems expanded in N-electron Slater determinants depend on the orthonormal one-particle basis chosen although the total energy remains invariant. Some bases result in more compact wave functions, i.e. result in fewer determinants with significant expansion coefficients. In this work, the Shannon entropy, as a measure of information content, is evaluated for such wave functions to examine whether there is a relationship between the FCI Shannon entropy of a given basis and the performance of that basis in truncated CI approaches. The results obtained for a set of randomly picked bases are compared to those obtained using the traditional canonical molecular orbitals, natural orbitals, seniority minimising orbitals and a basis that derives from direct minimisation of the Shannon entropy. FCI calculations for selected atomic and molecular systems clearly reflect the influence of the chosen basis. However, it is found that there is no direct relationship between the entropy computed for each basis and truncated CI energies.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2016-05-25info: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/10915/127045enginfo:eu-repo/semantics/altIdentifier/issn/1432-881Xinfo:eu-repo/semantics/altIdentifier/issn/1432-2234info:eu-repo/semantics/altIdentifier/doi/10.1007/s00214-016-1905-xinfo: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:UNLP2025-09-29T11:30:38Zoai:sedici.unlp.edu.ar:10915/127045Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:30:39.138SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Performance of Shannon-entropy compacted N-electron wave functions for configuration interaction methods
title Performance of Shannon-entropy compacted N-electron wave functions for configuration interaction methods
spellingShingle Performance of Shannon-entropy compacted N-electron wave functions for configuration interaction methods
Alcoba, Diego Ricardo
Física
Entropy
Configuration interaction
Seniority
DOCI
title_short Performance of Shannon-entropy compacted N-electron wave functions for configuration interaction methods
title_full Performance of Shannon-entropy compacted N-electron wave functions for configuration interaction methods
title_fullStr Performance of Shannon-entropy compacted N-electron wave functions for configuration interaction methods
title_full_unstemmed Performance of Shannon-entropy compacted N-electron wave functions for configuration interaction methods
title_sort Performance of Shannon-entropy compacted N-electron wave functions for configuration interaction methods
dc.creator.none.fl_str_mv Alcoba, Diego Ricardo
Torre, Alicia
Lain, Luis
Massaccesi, Gustavo E.
Oña, Ofelia Beatriz
Ayers, Paul W.
Van Raemdonck, Mario
Bultinck, Patrick
Van Neck, Dimitri
author Alcoba, Diego Ricardo
author_facet Alcoba, Diego Ricardo
Torre, Alicia
Lain, Luis
Massaccesi, Gustavo E.
Oña, Ofelia Beatriz
Ayers, Paul W.
Van Raemdonck, Mario
Bultinck, Patrick
Van Neck, Dimitri
author_role author
author2 Torre, Alicia
Lain, Luis
Massaccesi, Gustavo E.
Oña, Ofelia Beatriz
Ayers, Paul W.
Van Raemdonck, Mario
Bultinck, Patrick
Van Neck, Dimitri
author2_role author
author
author
author
author
author
author
author
dc.subject.none.fl_str_mv Física
Entropy
Configuration interaction
Seniority
DOCI
topic Física
Entropy
Configuration interaction
Seniority
DOCI
dc.description.none.fl_txt_mv The coefficients of full configuration interaction wave functions (FCI) for N-electron systems expanded in N-electron Slater determinants depend on the orthonormal one-particle basis chosen although the total energy remains invariant. Some bases result in more compact wave functions, i.e. result in fewer determinants with significant expansion coefficients. In this work, the Shannon entropy, as a measure of information content, is evaluated for such wave functions to examine whether there is a relationship between the FCI Shannon entropy of a given basis and the performance of that basis in truncated CI approaches. The results obtained for a set of randomly picked bases are compared to those obtained using the traditional canonical molecular orbitals, natural orbitals, seniority minimising orbitals and a basis that derives from direct minimisation of the Shannon entropy. FCI calculations for selected atomic and molecular systems clearly reflect the influence of the chosen basis. However, it is found that there is no direct relationship between the entropy computed for each basis and truncated CI energies.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description The coefficients of full configuration interaction wave functions (FCI) for N-electron systems expanded in N-electron Slater determinants depend on the orthonormal one-particle basis chosen although the total energy remains invariant. Some bases result in more compact wave functions, i.e. result in fewer determinants with significant expansion coefficients. In this work, the Shannon entropy, as a measure of information content, is evaluated for such wave functions to examine whether there is a relationship between the FCI Shannon entropy of a given basis and the performance of that basis in truncated CI approaches. The results obtained for a set of randomly picked bases are compared to those obtained using the traditional canonical molecular orbitals, natural orbitals, seniority minimising orbitals and a basis that derives from direct minimisation of the Shannon entropy. FCI calculations for selected atomic and molecular systems clearly reflect the influence of the chosen basis. However, it is found that there is no direct relationship between the entropy computed for each basis and truncated CI energies.
publishDate 2016
dc.date.none.fl_str_mv 2016-05-25
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/127045
url http://sedici.unlp.edu.ar/handle/10915/127045
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1432-881X
info:eu-repo/semantics/altIdentifier/issn/1432-2234
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00214-016-1905-x
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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