Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’

Autores
Amore, Paolo; Fernández, Francisco Marcelo; Rodriguez, Martin
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show that some of the conclusions drawn recently about the performance and convergence of the little sinc functions collocation method are misleading. To this end, we prove the convergence of the method and recalculate the ground-state energy for the Pullen–Edmonds Hamiltonian. In addition, we show the results for another nonseparable Hamiltonian operator with a somewhat more complicated potential-energy function.
Fil: Amore, Paolo. Universidad de Colima; México
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
Fil: Rodriguez, Martin. Universidad de Colima; México
Materia
LITTLE SINC FUNCTIONS
COLLOCATION METHOD
PULLEN-EDMONDS HAMILTONIAN
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:11336/279705
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’Amore, PaoloFernández, Francisco MarceloRodriguez, MartinLITTLE SINC FUNCTIONSCOLLOCATION METHODPULLEN-EDMONDS HAMILTONIANhttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We show that some of the conclusions drawn recently about the performance and convergence of the little sinc functions collocation method are misleading. To this end, we prove the convergence of the method and recalculate the ground-state energy for the Pullen–Edmonds Hamiltonian. In addition, we show the results for another nonseparable Hamiltonian operator with a somewhat more complicated potential-energy function.Fil: Amore, Paolo. Universidad de Colima; MéxicoFil: 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; ArgentinaFil: Rodriguez, Martin. Universidad de Colima; MéxicoIOP Publishing2011-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/279705Amore, Paolo; Fernández, Francisco Marcelo; Rodriguez, Martin; Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’; IOP Publishing; Physica Scripta; 83; 4; 2-2011; 1-40031-8949CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0031-8949/83/04/047003info:eu-repo/semantics/altIdentifier/doi/10.1088/0031-8949/83/04/047003info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-06T12:30:14Zoai:ri.conicet.gov.ar:11336/279705instacron: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:34982026-02-06 12:30:14.814CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’
title Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’
spellingShingle Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’
Amore, Paolo
LITTLE SINC FUNCTIONS
COLLOCATION METHOD
PULLEN-EDMONDS HAMILTONIAN
title_short Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’
title_full Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’
title_fullStr Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’
title_full_unstemmed Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’
title_sort Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’
dc.creator.none.fl_str_mv Amore, Paolo
Fernández, Francisco Marcelo
Rodriguez, Martin
author Amore, Paolo
author_facet Amore, Paolo
Fernández, Francisco Marcelo
Rodriguez, Martin
author_role author
author2 Fernández, Francisco Marcelo
Rodriguez, Martin
author2_role author
author
dc.subject.none.fl_str_mv LITTLE SINC FUNCTIONS
COLLOCATION METHOD
PULLEN-EDMONDS HAMILTONIAN
topic LITTLE SINC FUNCTIONS
COLLOCATION METHOD
PULLEN-EDMONDS HAMILTONIAN
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 show that some of the conclusions drawn recently about the performance and convergence of the little sinc functions collocation method are misleading. To this end, we prove the convergence of the method and recalculate the ground-state energy for the Pullen–Edmonds Hamiltonian. In addition, we show the results for another nonseparable Hamiltonian operator with a somewhat more complicated potential-energy function.
Fil: Amore, Paolo. Universidad de Colima; México
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
Fil: Rodriguez, Martin. Universidad de Colima; México
description We show that some of the conclusions drawn recently about the performance and convergence of the little sinc functions collocation method are misleading. To this end, we prove the convergence of the method and recalculate the ground-state energy for the Pullen–Edmonds Hamiltonian. In addition, we show the results for another nonseparable Hamiltonian operator with a somewhat more complicated potential-energy function.
publishDate 2011
dc.date.none.fl_str_mv 2011-02
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/11336/279705
Amore, Paolo; Fernández, Francisco Marcelo; Rodriguez, Martin; Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’; IOP Publishing; Physica Scripta; 83; 4; 2-2011; 1-4
0031-8949
CONICET Digital
CONICET
url http://hdl.handle.net/11336/279705
identifier_str_mv Amore, Paolo; Fernández, Francisco Marcelo; Rodriguez, Martin; Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’; IOP Publishing; Physica Scripta; 83; 4; 2-2011; 1-4
0031-8949
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://iopscience.iop.org/article/10.1088/0031-8949/83/04/047003
info:eu-repo/semantics/altIdentifier/doi/10.1088/0031-8949/83/04/047003
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 IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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
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score 13.106097

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