Perturbation theory by the moment method and point-group symmetry

Autores
Fernández, Francisco Marcelo
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We analyze earlier applications of perturbation theory by the moment method (also called inner product method) to anharmonic oscillators. For concreteness we focus on two-dimensional models with symmetry (Formula presented.) and (Formula presented.) and reveal the reason why some of those earlier treatments proved unsuitable for the calculation of the perturbation corrections for some excited states. Point-group symmetry enables one to predict which states require special treatment.
Fil: Fernández, Francisco Marcelo. 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
Materia
Perturbation Theory
Moments Method
Point-Group Symmetry
Anharmonic Oscillators
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/37849
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Perturbation theory by the moment method and point-group symmetryFernández, Francisco MarceloPerturbation TheoryMoments MethodPoint-Group SymmetryAnharmonic Oscillatorshttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We analyze earlier applications of perturbation theory by the moment method (also called inner product method) to anharmonic oscillators. For concreteness we focus on two-dimensional models with symmetry (Formula presented.) and (Formula presented.) and reveal the reason why some of those earlier treatments proved unsuitable for the calculation of the perturbation corrections for some excited states. Point-group symmetry enables one to predict which states require special treatment.Fil: Fernández, Francisco Marcelo. 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; ArgentinaSpringer2015-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/37849Fernández, Francisco Marcelo; Perturbation theory by the moment method and point-group symmetry; Springer; Journal of Mathematical Chemistry; 53; 4; 1-2015; 998-10090259-9791CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10910-014-0457-3info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10910-014-0457-3info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1409.4120info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:05:20Zoai:ri.conicet.gov.ar:11336/37849instacron: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:34982025-09-03 10:05:20.766CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Perturbation theory by the moment method and point-group symmetry
title Perturbation theory by the moment method and point-group symmetry
spellingShingle Perturbation theory by the moment method and point-group symmetry
Fernández, Francisco Marcelo
Perturbation Theory
Moments Method
Point-Group Symmetry
Anharmonic Oscillators
title_short Perturbation theory by the moment method and point-group symmetry
title_full Perturbation theory by the moment method and point-group symmetry
title_fullStr Perturbation theory by the moment method and point-group symmetry
title_full_unstemmed Perturbation theory by the moment method and point-group symmetry
title_sort Perturbation theory by the moment method and point-group symmetry
dc.creator.none.fl_str_mv Fernández, Francisco Marcelo
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_role author
dc.subject.none.fl_str_mv Perturbation Theory
Moments Method
Point-Group Symmetry
Anharmonic Oscillators
topic Perturbation Theory
Moments Method
Point-Group Symmetry
Anharmonic Oscillators
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We analyze earlier applications of perturbation theory by the moment method (also called inner product method) to anharmonic oscillators. For concreteness we focus on two-dimensional models with symmetry (Formula presented.) and (Formula presented.) and reveal the reason why some of those earlier treatments proved unsuitable for the calculation of the perturbation corrections for some excited states. Point-group symmetry enables one to predict which states require special treatment.
Fil: Fernández, Francisco Marcelo. 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
description We analyze earlier applications of perturbation theory by the moment method (also called inner product method) to anharmonic oscillators. For concreteness we focus on two-dimensional models with symmetry (Formula presented.) and (Formula presented.) and reveal the reason why some of those earlier treatments proved unsuitable for the calculation of the perturbation corrections for some excited states. Point-group symmetry enables one to predict which states require special treatment.
publishDate 2015
dc.date.none.fl_str_mv 2015-01
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/11336/37849
Fernández, Francisco Marcelo; Perturbation theory by the moment method and point-group symmetry; Springer; Journal of Mathematical Chemistry; 53; 4; 1-2015; 998-1009
0259-9791
CONICET Digital
CONICET
url http://hdl.handle.net/11336/37849
identifier_str_mv Fernández, Francisco Marcelo; Perturbation theory by the moment method and point-group symmetry; Springer; Journal of Mathematical Chemistry; 53; 4; 1-2015; 998-1009
0259-9791
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s10910-014-0457-3
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10910-014-0457-3
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1409.4120
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
reponame_str CONICET Digital (CONICET)
collection 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
_version_ 1842269906731532288
score 13.13397

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