Comment on ‘Calculation of eigenfunctions in a double-well oscillator’

Autores
Fernández, Francisco Marcelo
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We argue that Ansaripour (2010 Phys. Scr. 82 045008) obtained not the eigenvalues and eigenfunctions of the double-well oscillator, but those for a single-well anharmonic oscillator. We show that his eigenvalues obtained by means of the Riccati–Padé method are not as accurate as the reported number of digits suggests. More precisely, Ansaripour's sequences of roots of the Hankel determinants converged to wrong limits.
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
Double well
Oscillator
Riccati-Padé
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:11336/278380
Acceder
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spelling Comment on ‘Calculation of eigenfunctions in a double-well oscillator’Fernández, Francisco MarceloDouble wellOscillatorRiccati-Padéhttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We argue that Ansaripour (2010 Phys. Scr. 82 045008) obtained not the eigenvalues and eigenfunctions of the double-well oscillator, but those for a single-well anharmonic oscillator. We show that his eigenvalues obtained by means of the Riccati–Padé method are not as accurate as the reported number of digits suggests. More precisely, Ansaripour's sequences of roots of the Hankel determinants converged to wrong limits.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; ArgentinaIOP 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/11336/278380Fernández, Francisco Marcelo; Comment on ‘Calculation of eigenfunctions in a double-well oscillator’; IOP Publishing; Physica Scripta; 83; 4; 2-2011; 1-30031-8949CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0031-8949/83/04/047001info:eu-repo/semantics/altIdentifier/doi/10.1088/0031-8949/83/04/047001info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-01-08T13:04:27Zoai:ri.conicet.gov.ar:11336/278380instacron: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:34982026-01-08 13:04:27.989CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Comment on ‘Calculation of eigenfunctions in a double-well oscillator’
title Comment on ‘Calculation of eigenfunctions in a double-well oscillator’
spellingShingle Comment on ‘Calculation of eigenfunctions in a double-well oscillator’
Fernández, Francisco Marcelo
Double well
Oscillator
Riccati-Padé
title_short Comment on ‘Calculation of eigenfunctions in a double-well oscillator’
title_full Comment on ‘Calculation of eigenfunctions in a double-well oscillator’
title_fullStr Comment on ‘Calculation of eigenfunctions in a double-well oscillator’
title_full_unstemmed Comment on ‘Calculation of eigenfunctions in a double-well oscillator’
title_sort Comment on ‘Calculation of eigenfunctions in a double-well oscillator’
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 Double well
Oscillator
Riccati-Padé
topic Double well
Oscillator
Riccati-Padé
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 argue that Ansaripour (2010 Phys. Scr. 82 045008) obtained not the eigenvalues and eigenfunctions of the double-well oscillator, but those for a single-well anharmonic oscillator. We show that his eigenvalues obtained by means of the Riccati–Padé method are not as accurate as the reported number of digits suggests. More precisely, Ansaripour's sequences of roots of the Hankel determinants converged to wrong limits.
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 argue that Ansaripour (2010 Phys. Scr. 82 045008) obtained not the eigenvalues and eigenfunctions of the double-well oscillator, but those for a single-well anharmonic oscillator. We show that his eigenvalues obtained by means of the Riccati–Padé method are not as accurate as the reported number of digits suggests. More precisely, Ansaripour's sequences of roots of the Hankel determinants converged to wrong limits.
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/11336/278380
Fernández, Francisco Marcelo; Comment on ‘Calculation of eigenfunctions in a double-well oscillator’; IOP Publishing; Physica Scripta; 83; 4; 2-2011; 1-3
0031-8949
CONICET Digital
CONICET
url http://hdl.handle.net/11336/278380
identifier_str_mv Fernández, Francisco Marcelo; Comment on ‘Calculation of eigenfunctions in a double-well oscillator’; IOP Publishing; Physica Scripta; 83; 4; 2-2011; 1-3
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/10.1088/0031-8949/83/04/047001
info:eu-repo/semantics/altIdentifier/doi/10.1088/0031-8949/83/04/047001
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 12.747614

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