A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach
- Autores
- Lain, Luis; Torre, Alicia; Alcoba, Diego Ricardo; Oña, Ofelia Beatriz; Massaccesi, Gustavo Ernesto
- Año de publicación
- 2015
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- This work reports the formulation of Shannon entropy indices in terms of seniority numbers of the Slater determinants expanding an N-electron wave function. Numerical determinations of those indices prove that they provide a suitable quantitative procedure to evaluate compactnesses of wave functions and to describe their configurational structures. An analysis of the results, calculated for full configuration interaction wave functions in selected atomic and molecular systems, allows one to compare and to discuss the behavior of several types of molecular orbital basis sets in order to achieve more compact wave function expansions, and to study their multiconfigurational character.
Fil: Lain, Luis. Universidad del País Vasco; España
Fil: Torre, Alicia. Universidad del País Vasco; España
Fil: Alcoba, Diego Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Oña, Ofelia Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
Fil: Massaccesi, Gustavo Ernesto. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina - Materia
-
Compactness of Wave Functions
Seniority Number
Shannon Entropy Indices
Optimization of Molecular Orbital Basis Sets - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/46475
Ver los metadatos del registro completo
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A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approachLain, LuisTorre, AliciaAlcoba, Diego RicardoOña, Ofelia BeatrizMassaccesi, Gustavo ErnestoCompactness of Wave FunctionsSeniority NumberShannon Entropy IndicesOptimization of Molecular Orbital Basis Setshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1This work reports the formulation of Shannon entropy indices in terms of seniority numbers of the Slater determinants expanding an N-electron wave function. Numerical determinations of those indices prove that they provide a suitable quantitative procedure to evaluate compactnesses of wave functions and to describe their configurational structures. An analysis of the results, calculated for full configuration interaction wave functions in selected atomic and molecular systems, allows one to compare and to discuss the behavior of several types of molecular orbital basis sets in order to achieve more compact wave function expansions, and to study their multiconfigurational character.Fil: Lain, Luis. Universidad del País Vasco; EspañaFil: Torre, Alicia. Universidad del País Vasco; EspañaFil: Alcoba, Diego Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Oña, Ofelia Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; ArgentinaFil: Massaccesi, Gustavo Ernesto. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; ArgentinaSpringer2015-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/46475Lain, Luis; Torre, Alicia; Alcoba, Diego Ricardo; Oña, Ofelia Beatriz; Massaccesi, Gustavo Ernesto; A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach; Springer; Theoretical Chemistry Accounts; 134; 7; 7-2015; 85-851432-881X1432-2234CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00214-015-1688-5info:eu-repo/semantics/altIdentifier/doi/10.1007/s00214-015-1688-5info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:44:41Zoai:ri.conicet.gov.ar:11336/46475instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:44:41.394CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach |
title |
A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach |
spellingShingle |
A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach Lain, Luis Compactness of Wave Functions Seniority Number Shannon Entropy Indices Optimization of Molecular Orbital Basis Sets |
title_short |
A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach |
title_full |
A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach |
title_fullStr |
A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach |
title_full_unstemmed |
A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach |
title_sort |
A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach |
dc.creator.none.fl_str_mv |
Lain, Luis Torre, Alicia Alcoba, Diego Ricardo Oña, Ofelia Beatriz Massaccesi, Gustavo Ernesto |
author |
Lain, Luis |
author_facet |
Lain, Luis Torre, Alicia Alcoba, Diego Ricardo Oña, Ofelia Beatriz Massaccesi, Gustavo Ernesto |
author_role |
author |
author2 |
Torre, Alicia Alcoba, Diego Ricardo Oña, Ofelia Beatriz Massaccesi, Gustavo Ernesto |
author2_role |
author author author author |
dc.subject.none.fl_str_mv |
Compactness of Wave Functions Seniority Number Shannon Entropy Indices Optimization of Molecular Orbital Basis Sets |
topic |
Compactness of Wave Functions Seniority Number Shannon Entropy Indices Optimization of Molecular Orbital Basis Sets |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
This work reports the formulation of Shannon entropy indices in terms of seniority numbers of the Slater determinants expanding an N-electron wave function. Numerical determinations of those indices prove that they provide a suitable quantitative procedure to evaluate compactnesses of wave functions and to describe their configurational structures. An analysis of the results, calculated for full configuration interaction wave functions in selected atomic and molecular systems, allows one to compare and to discuss the behavior of several types of molecular orbital basis sets in order to achieve more compact wave function expansions, and to study their multiconfigurational character. Fil: Lain, Luis. Universidad del País Vasco; España Fil: Torre, Alicia. Universidad del País Vasco; España Fil: Alcoba, Diego Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina Fil: Oña, Ofelia Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina Fil: Massaccesi, Gustavo Ernesto. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina |
description |
This work reports the formulation of Shannon entropy indices in terms of seniority numbers of the Slater determinants expanding an N-electron wave function. Numerical determinations of those indices prove that they provide a suitable quantitative procedure to evaluate compactnesses of wave functions and to describe their configurational structures. An analysis of the results, calculated for full configuration interaction wave functions in selected atomic and molecular systems, allows one to compare and to discuss the behavior of several types of molecular orbital basis sets in order to achieve more compact wave function expansions, and to study their multiconfigurational character. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-07 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 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://hdl.handle.net/11336/46475 Lain, Luis; Torre, Alicia; Alcoba, Diego Ricardo; Oña, Ofelia Beatriz; Massaccesi, Gustavo Ernesto; A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach; Springer; Theoretical Chemistry Accounts; 134; 7; 7-2015; 85-85 1432-881X 1432-2234 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/46475 |
identifier_str_mv |
Lain, Luis; Torre, Alicia; Alcoba, Diego Ricardo; Oña, Ofelia Beatriz; Massaccesi, Gustavo Ernesto; A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach; Springer; Theoretical Chemistry Accounts; 134; 7; 7-2015; 85-85 1432-881X 1432-2234 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00214-015-1688-5 info:eu-repo/semantics/altIdentifier/doi/10.1007/s00214-015-1688-5 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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1844613406097670144 |
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13.070432 |