Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”

Autores
Fernández, Francisco Marcelo
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We analyze a recent application of the Nikiforov-Uvarov (NU) method to an N -dimensional anharmonic oscillator with a central-field sextic potential-energy function. We show that most of the equations derived by the author exhibit errors (or typos) and that his interpretation of the results may not be correct. By means of the Frobenius (power-series) method we derive exact particular solutions to the Schrödinger equation and compare them with those coming from the NU method.
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
CONDITIONALLY-SOLVABLE MODEL
FROBENIUS METHOD
NU METHOD
SEXTIC OSCILLATOR
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:11336/204765
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/204765
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”Fernández, Francisco MarceloCONDITIONALLY-SOLVABLE MODELFROBENIUS METHODNU METHODSEXTIC OSCILLATORhttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We analyze a recent application of the Nikiforov-Uvarov (NU) method to an N -dimensional anharmonic oscillator with a central-field sextic potential-energy function. We show that most of the equations derived by the author exhibit errors (or typos) and that his interpretation of the results may not be correct. By means of the Frobenius (power-series) method we derive exact particular solutions to the Schrödinger equation and compare them with those coming from the NU method.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; ArgentinaSpringer2022-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/204765Fernández, Francisco Marcelo; Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”; Springer; Journal of Mathematical Chemistry; 60; 2; 2-2022; 261-2660259-9791CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10910-021-01308-5info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10910-021-01308-5info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:38:19Zoai:ri.conicet.gov.ar:11336/204765instacron: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:34982025-10-15 15:38:20.146CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”
title Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”
spellingShingle Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”
Fernández, Francisco Marcelo
CONDITIONALLY-SOLVABLE MODEL
FROBENIUS METHOD
NU METHOD
SEXTIC OSCILLATOR
title_short Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”
title_full Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”
title_fullStr Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”
title_full_unstemmed Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”
title_sort Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”
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 CONDITIONALLY-SOLVABLE MODEL
FROBENIUS METHOD
NU METHOD
SEXTIC OSCILLATOR
topic CONDITIONALLY-SOLVABLE MODEL
FROBENIUS METHOD
NU METHOD
SEXTIC OSCILLATOR
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 a recent application of the Nikiforov-Uvarov (NU) method to an N -dimensional anharmonic oscillator with a central-field sextic potential-energy function. We show that most of the equations derived by the author exhibit errors (or typos) and that his interpretation of the results may not be correct. By means of the Frobenius (power-series) method we derive exact particular solutions to the Schrödinger equation and compare them with those coming from the NU method.
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 a recent application of the Nikiforov-Uvarov (NU) method to an N -dimensional anharmonic oscillator with a central-field sextic potential-energy function. We show that most of the equations derived by the author exhibit errors (or typos) and that his interpretation of the results may not be correct. By means of the Frobenius (power-series) method we derive exact particular solutions to the Schrödinger equation and compare them with those coming from the NU method.
publishDate 2022
dc.date.none.fl_str_mv 2022-02
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/11336/204765
Fernández, Francisco Marcelo; Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”; Springer; Journal of Mathematical Chemistry; 60; 2; 2-2022; 261-266
0259-9791
CONICET Digital
CONICET
url http://hdl.handle.net/11336/204765
identifier_str_mv Fernández, Francisco Marcelo; Comment on “a new approach to solve the Schrödinger equation with an anharmonic sextic potential”; Springer; Journal of Mathematical Chemistry; 60; 2; 2-2022; 261-266
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/s10910-021-01308-5
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10910-021-01308-5
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
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score 13.22299

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