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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/127045
Ver los metadatos del registro completo
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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 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/10915/127045 |
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) |
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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 |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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alira@sedici.unlp.edu.ar |
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