Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions
This work proposes the variational determination of two-electron reduced density matrices corresponding to the ground state of N-electron systems within the doubly occupied-configuration-interaction methodology. The P, Q, and G two-index N-representability conditions have been extended to the T1 and...
| Autores: | , , , , , , , , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/96762 |
| Acceso en línea: | http://hdl.handle.net/11336/96762 |
| Access Level: | acceso abierto |
| Palabra clave: | DENSITY-MATRIX VARIATIONAL METHODS CONFIGURATION INTERACTION DOCI https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
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Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditionsAlcoba, Diego RicardoTorre, AliciaLain, LuisMassaccesi, Gustavo ErnestoOña, Ofelia BeatrizHonore, Eduardo MisaelPoelmans, WardVan Neck, DimitriBultinck, PatrickDe Baerdemacker, StijnDENSITY-MATRIXVARIATIONAL METHODSCONFIGURATION INTERACTIONDOCIhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1This work proposes the variational determination of two-electron reduced density matrices corresponding to the ground state of N-electron systems within the doubly occupied-configuration-interaction methodology. The P, Q, and G two-index N-representability conditions have been extended to the T1 and T2 (T2′) three-index ones and the resulting optimization problem has been addressed using a standard semidefinite program. We report results obtained from the doubly occupied-configuration-interaction method, from the two-index constraint variational procedure and from the two- and three-index constraint variational treatment. The discussion of these results along with a study of the computational cost demanded shows the usefulness of our proposal.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; ArgentinaFil: Torre, Alicia. Universidad del País Vasco; EspañaFil: Lain, Luis. Universidad del País Vasco; EspañaFil: Massaccesi, Gustavo Ernesto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad 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: Honore, Eduardo Misael. Universidad de Buenos Aires; ArgentinaFil: Poelmans, Ward. University of Ghent; BélgicaFil: Van Neck, Dimitri. University of Ghent; BélgicaFil: Bultinck, Patrick. University of Ghent; BélgicaFil: De Baerdemacker, Stijn. University of Ghent; BélgicaAmerican Institute of Physics2018-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/96762Alcoba, Diego Ricardo; Torre, Alicia; Lain, Luis; Massaccesi, Gustavo Ernesto; Oña, Ofelia Beatriz; et al.; Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions; American Institute of Physics; Journal of Chemical Physics; 148; 2; 1-2018; 1-100021-9606CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1063/1.5008811info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.5008811info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:48:22Zoai:ri.conicet.gov.ar:11336/96762instacron: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:34982024-05-08 13:48:22.728CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions |
| title |
Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions |
| spellingShingle |
Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions Alcoba, Diego Ricardo DENSITY-MATRIX VARIATIONAL METHODS CONFIGURATION INTERACTION DOCI https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| title_short |
Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions |
| title_full |
Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions |
| title_fullStr |
Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions |
| title_full_unstemmed |
Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions |
| title_sort |
Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions |
| dc.creator.none.fl_str_mv |
Alcoba, Diego Ricardo Torre, Alicia Lain, Luis Massaccesi, Gustavo Ernesto Oña, Ofelia Beatriz Honore, Eduardo Misael Poelmans, Ward Van Neck, Dimitri Bultinck, Patrick De Baerdemacker, Stijn |
| author |
Alcoba, Diego Ricardo |
| author_facet |
Alcoba, Diego Ricardo Torre, Alicia Lain, Luis Massaccesi, Gustavo Ernesto Oña, Ofelia Beatriz Honore, Eduardo Misael Poelmans, Ward Van Neck, Dimitri Bultinck, Patrick De Baerdemacker, Stijn |
| author_role |
author |
| author2 |
Torre, Alicia Lain, Luis Massaccesi, Gustavo Ernesto Oña, Ofelia Beatriz Honore, Eduardo Misael Poelmans, Ward Van Neck, Dimitri Bultinck, Patrick De Baerdemacker, Stijn |
| author2_role |
author author author author author author author author author |
| dc.subject.none.fl_str_mv |
DENSITY-MATRIX VARIATIONAL METHODS CONFIGURATION INTERACTION DOCI https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| topic |
DENSITY-MATRIX VARIATIONAL METHODS CONFIGURATION INTERACTION DOCI https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| description |
This work proposes the variational determination of two-electron reduced density matrices corresponding to the ground state of N-electron systems within the doubly occupied-configuration-interaction methodology. The P, Q, and G two-index N-representability conditions have been extended to the T1 and T2 (T2′) three-index ones and the resulting optimization problem has been addressed using a standard semidefinite program. We report results obtained from the doubly occupied-configuration-interaction method, from the two-index constraint variational procedure and from the two- and three-index constraint variational treatment. The discussion of these results along with a study of the computational cost demanded shows the usefulness of our proposal. |
| publishDate |
2018 |
| dc.date.none.fl_str_mv |
2018-01 |
| 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/11336/96762 Alcoba, Diego Ricardo; Torre, Alicia; Lain, Luis; Massaccesi, Gustavo Ernesto; Oña, Ofelia Beatriz; et al.; Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions; American Institute of Physics; Journal of Chemical Physics; 148; 2; 1-2018; 1-10 0021-9606 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/96762 |
| identifier_str_mv |
Alcoba, Diego Ricardo; Torre, Alicia; Lain, Luis; Massaccesi, Gustavo Ernesto; Oña, Ofelia Beatriz; et al.; Direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions: The influence of three-index N -representability conditions; American Institute of Physics; Journal of Chemical Physics; 148; 2; 1-2018; 1-10 0021-9606 CONICET Digital CONICET |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.5008811 info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.5008811 |
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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/ |
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application/pdf application/pdf application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
American Institute of Physics |
| publisher.none.fl_str_mv |
American Institute of Physics |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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15,811543 |