Accurate summation of the perturbation series for periodic eigenvalue problems
- Autores
- Fernández, Francisco Marcelo; Diaz, C. G.
- Año de publicación
- 2001
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Centro de Química Inorgánica - Materia
-
Química
Solutions of wave equations: bound states
Zeeman and Stark effects - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/145231
Ver los metadatos del registro completo
| id |
SEDICI_7fde970d6ed13d16829d67e8eef174b0 |
|---|---|
| oai_identifier_str |
oai:sedici.unlp.edu.ar:10915/145231 |
| network_acronym_str |
SEDICI |
| repository_id_str |
1329 |
| network_name_str |
SEDICI (UNLP) |
| 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:UNLP2025-10-22T17:13:12Zoai: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:13292025-10-22 17:13:12.23SEDICI (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 |
| dc.description.none.fl_txt_mv |
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. Centro de Química Inorgánica |
| 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 |
| 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 |
| _version_ |
1846783499917328384 |
| score |
12.982451 |