Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2

Autores
Fernández, Francisco Marcelo; García, Javier
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x2 y2 by means of three different methods. Our results strongly suggest that the spectrum of this oscillator is discrete in agreement with early rigorous mathematical proofs and against a recent statement that cast doubts about it
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Física
Anharmonic oscillator
connected-moments expansion
discrete spectrum
point-group symmetry
Rayleigh-Ritz method
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/85279
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/85279
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2Fernández, Francisco MarceloGarcía, JavierFísicaAnharmonic oscillatorconnected-moments expansiondiscrete spectrumpoint-group symmetryRayleigh-Ritz methodWe obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x<sup>2</sup> y<sup>2</sup> by means of three different methods. Our results strongly suggest that the spectrum of this oscillator is discrete in agreement with early rigorous mathematical proofs and against a recent statement that cast doubts about itInstituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf499-502http://sedici.unlp.edu.ar/handle/10915/85279enginfo:eu-repo/semantics/altIdentifier/issn/1895-1082info:eu-repo/semantics/altIdentifier/doi/10.2478/s11534-014-0474-7info: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:UNLP2025-11-05T12:55:44Zoai:sedici.unlp.edu.ar:10915/85279Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-11-05 12:55:45.121SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
title Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
spellingShingle Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
Fernández, Francisco Marcelo
Física
Anharmonic oscillator
connected-moments expansion
discrete spectrum
point-group symmetry
Rayleigh-Ritz method
title_short Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
title_full Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
title_fullStr Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
title_full_unstemmed Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
title_sort Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
dc.creator.none.fl_str_mv Fernández, Francisco Marcelo
García, Javier
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
García, Javier
author_role author
author2 García, Javier
author2_role author
dc.subject.none.fl_str_mv Física
Anharmonic oscillator
connected-moments expansion
discrete spectrum
point-group symmetry
Rayleigh-Ritz method
topic Física
Anharmonic oscillator
connected-moments expansion
discrete spectrum
point-group symmetry
Rayleigh-Ritz method
dc.description.none.fl_txt_mv We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x<sup>2</sup> y<sup>2</sup> by means of three different methods. Our results strongly suggest that the spectrum of this oscillator is discrete in agreement with early rigorous mathematical proofs and against a recent statement that cast doubts about it
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x<sup>2</sup> y<sup>2</sup> by means of three different methods. Our results strongly suggest that the spectrum of this oscillator is discrete in agreement with early rigorous mathematical proofs and against a recent statement that cast doubts about it
publishDate 2014
dc.date.none.fl_str_mv 2014
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/10915/85279
url http://sedici.unlp.edu.ar/handle/10915/85279
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1895-1082
info:eu-repo/semantics/altIdentifier/doi/10.2478/s11534-014-0474-7
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)
eu_rights_str_mv 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
499-502
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.087074

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