Accurate summation of the perturbation series for periodic eigenvalue problems

We show that algebraic approximants prove suitable for the summation of the perturbation series for the eigenvalues of periodic problems. Appropriate algebraic approximants constructed from the perturbation series for a given eigenvalue provide information about other eigenvalues connected with the...

Descripción completa

Detalles Bibliográficos
Autores: Fernández, Francisco Marcelo, Diaz, C. G.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2001
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/145231
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/145231
Access Level:acceso abierto
Palabra clave:Química
Solutions of wave equations: bound states
Zeeman and Stark effects
id AR_7fde970d6ed13d16829d67e8eef174b0
oai_identifier_str oai:sedici.unlp.edu.ar:10915/145231
network_acronym_str AR
network_name_str Argentina
repository_id_str
spelling Accurate summation of the perturbation series for periodic eigenvalue problemsFernández, Francisco MarceloDiaz, C. G.QuímicaSolutions of wave equations: bound statesZeeman and Stark effectsWe show that algebraic approximants prove suitable for the summation of the perturbation series for the eigenvalues of periodic problems. Appropriate algebraic approximants constructed from the perturbation series for a given eigenvalue provide information about other eigenvalues connected with the chosen one by branch points in the complex plane. Such approximants also give those branch points with remarkable accuracy. We choose Mathieu's equation as illustrative example.Centro de Química Inorgánica2001info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf41-46http://sedici.unlp.edu.ar/handle/10915/145231enginfo:eu-repo/semantics/altIdentifier/issn/1434-6060info:eu-repo/semantics/altIdentifier/doi/10.1007/s100530170181info: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:UNLP2024-05-08T13:10:41Zoai:sedici.unlp.edu.ar:10915/145231Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292024-05-08 13:10:41.468SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Accurate summation of the perturbation series for periodic eigenvalue problems
title Accurate summation of the perturbation series for periodic eigenvalue problems
spellingShingle Accurate summation of the perturbation series for periodic eigenvalue problems
Fernández, Francisco Marcelo
Química
Solutions of wave equations: bound states
Zeeman and Stark effects
title_short Accurate summation of the perturbation series for periodic eigenvalue problems
title_full Accurate summation of the perturbation series for periodic eigenvalue problems
title_fullStr Accurate summation of the perturbation series for periodic eigenvalue problems
title_full_unstemmed Accurate summation of the perturbation series for periodic eigenvalue problems
title_sort Accurate summation of the perturbation series for periodic eigenvalue problems
dc.creator.none.fl_str_mv Fernández, Francisco Marcelo
Diaz, C. G.
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
Diaz, C. G.
author_role author
author2 Diaz, C. G.
author2_role author
dc.subject.none.fl_str_mv Química
Solutions of wave equations: bound states
Zeeman and Stark effects
topic Química
Solutions of wave equations: bound states
Zeeman and Stark effects
description We show that algebraic approximants prove suitable for the summation of the perturbation series for the eigenvalues of periodic problems. Appropriate algebraic approximants constructed from the perturbation series for a given eigenvalue provide information about other eigenvalues connected with the chosen one by branch points in the complex plane. Such approximants also give those branch points with remarkable accuracy. We choose Mathieu's equation as illustrative example.
publishDate 2001
dc.date.none.fl_str_mv 2001
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/10915/145231
url http://sedici.unlp.edu.ar/handle/10915/145231
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1434-6060
info:eu-repo/semantics/altIdentifier/doi/10.1007/s100530170181
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
41-46
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1799194435148316672
score 15,811543

Similares en LA Referencia