Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators

Autores
Fernández, Francisco Marcelo; García, Javier
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We draw attention on the fact that the Riccati-Padé method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded either in the continuum or in the discrete spectrum. We apply the approach to several one-dimensional models that exhibit different kind of spectra. In particular we test a WKB formula for the imaginary part of the resonance in the discrete spectrum of a three-well potential.
Facultad de Ciencias Exactas
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Ciencias Exactas
Anharmonic oscillators
Bound states
Resonances
Riccati-Padé method
WKB asymptotic expression
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/87544
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/87544
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillatorsFernández, Francisco MarceloGarcía, JavierCiencias ExactasAnharmonic oscillatorsBound statesResonancesRiccati-Padé methodWKB asymptotic expressionWe draw attention on the fact that the Riccati-Padé method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded either in the continuum or in the discrete spectrum. We apply the approach to several one-dimensional models that exhibit different kind of spectra. In particular we test a WKB formula for the imaginary part of the resonance in the discrete spectrum of a three-well potential.Facultad de Ciencias ExactasInstituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf391-398http://sedici.unlp.edu.ar/handle/10915/87544enginfo:eu-repo/semantics/altIdentifier/issn/1210-2709info:eu-repo/semantics/altIdentifier/doi/10.14311/AP.2017.57.0391info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-17T09:59:59Zoai:sedici.unlp.edu.ar:10915/87544Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-17 09:59:59.472SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
title Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
spellingShingle Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
Fernández, Francisco Marcelo
Ciencias Exactas
Anharmonic oscillators
Bound states
Resonances
Riccati-Padé method
WKB asymptotic expression
title_short Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
title_full Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
title_fullStr Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
title_full_unstemmed Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
title_sort Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
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 Ciencias Exactas
Anharmonic oscillators
Bound states
Resonances
Riccati-Padé method
WKB asymptotic expression
topic Ciencias Exactas
Anharmonic oscillators
Bound states
Resonances
Riccati-Padé method
WKB asymptotic expression
dc.description.none.fl_txt_mv We draw attention on the fact that the Riccati-Padé method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded either in the continuum or in the discrete spectrum. We apply the approach to several one-dimensional models that exhibit different kind of spectra. In particular we test a WKB formula for the imaginary part of the resonance in the discrete spectrum of a three-well potential.
Facultad de Ciencias Exactas
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description We draw attention on the fact that the Riccati-Padé method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded either in the continuum or in the discrete spectrum. We apply the approach to several one-dimensional models that exhibit different kind of spectra. In particular we test a WKB formula for the imaginary part of the resonance in the discrete spectrum of a three-well potential.
publishDate 2017
dc.date.none.fl_str_mv 2017
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/10915/87544
url http://sedici.unlp.edu.ar/handle/10915/87544
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1210-2709
info:eu-repo/semantics/altIdentifier/doi/10.14311/AP.2017.57.0391
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
391-398
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 13.000565

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