Accurate eigenvalues of bounded oscillators

Autores
Fernández, Francisco Marcelo
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We calculate accurate eigenvalues of a bounded oscillator by means of the Riccati–Pade method that is based on a rational approximation to a regularized logarithmic derivative of the wavefunction. Sequences of roots of Hankel determinants approach the model eigenvalues from below with a remarkable convergence rate.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Física
Solutions of wave equations
Bound states
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:10915/129652
Acceder
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spelling Accurate eigenvalues of bounded oscillatorsFernández, Francisco MarceloFísicaSolutions of wave equationsBound statesWe calculate accurate eigenvalues of a bounded oscillator by means of the Riccati–Pade method that is based on a rational approximation to a regularized logarithmic derivative of the wavefunction. Sequences of roots of Hankel determinants approach the model eigenvalues from below with a remarkable convergence rate.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2008info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/129652enginfo:eu-repo/semantics/altIdentifier/issn/0031-8949info:eu-repo/semantics/altIdentifier/issn/1402-4896info:eu-repo/semantics/altIdentifier/arxiv/0802.1483info:eu-repo/semantics/altIdentifier/doi/10.1088/0031-8949/78/01/015003info: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:UNLP2025-10-22T17:12:11Zoai:sedici.unlp.edu.ar:10915/129652Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:12:11.806SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Accurate eigenvalues of bounded oscillators
title Accurate eigenvalues of bounded oscillators
spellingShingle Accurate eigenvalues of bounded oscillators
Fernández, Francisco Marcelo
Física
Solutions of wave equations
Bound states
title_short Accurate eigenvalues of bounded oscillators
title_full Accurate eigenvalues of bounded oscillators
title_fullStr Accurate eigenvalues of bounded oscillators
title_full_unstemmed Accurate eigenvalues of bounded oscillators
title_sort Accurate eigenvalues of bounded oscillators
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 Física
Solutions of wave equations
Bound states
topic Física
Solutions of wave equations
Bound states
dc.description.none.fl_txt_mv We calculate accurate eigenvalues of a bounded oscillator by means of the Riccati–Pade method that is based on a rational approximation to a regularized logarithmic derivative of the wavefunction. Sequences of roots of Hankel determinants approach the model eigenvalues from below with a remarkable convergence rate.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description We calculate accurate eigenvalues of a bounded oscillator by means of the Riccati–Pade method that is based on a rational approximation to a regularized logarithmic derivative of the wavefunction. Sequences of roots of Hankel determinants approach the model eigenvalues from below with a remarkable convergence rate.
publishDate 2008
dc.date.none.fl_str_mv 2008
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/10915/129652
url http://sedici.unlp.edu.ar/handle/10915/129652
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0031-8949
info:eu-repo/semantics/altIdentifier/issn/1402-4896
info:eu-repo/semantics/altIdentifier/arxiv/0802.1483
info:eu-repo/semantics/altIdentifier/doi/10.1088/0031-8949/78/01/015003
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
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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