Generalized Borel transform technique in quantum mechanics

Autores
Epele, Luis Nicolás; Fanchiotti, Huner; García Canal, Carlos Alberto; Marucho, M.
Año de publicación
2003
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present the Generalized Borel Transform (GBT). This new approach allows one to obtain approximate solutions of Laplace/Mellin transform valid in both, perturbative and non-perturbative regimes. We compare the results provided by the GBT for a solvable model of quantum mechanics with those provided by standard techniques, as the conventional Borel sum, or its modified versions. We found that our approach is very efficient for obtaining both the low and the high energy behavior of the model.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
Borel transform
Quantum mechanics
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:10915/84546
Acceder
id SEDICI_57311be3c23e835c740bbc9d1b98a83a
oai_identifier_str oai:sedici.unlp.edu.ar:10915/84546
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Generalized Borel transform technique in quantum mechanicsEpele, Luis NicolásFanchiotti, HunerGarcía Canal, Carlos AlbertoMarucho, M.Ciencias ExactasFísicaBorel transformQuantum mechanicsWe present the Generalized Borel Transform (GBT). This new approach allows one to obtain approximate solutions of Laplace/Mellin transform valid in both, perturbative and non-perturbative regimes. We compare the results provided by the GBT for a solvable model of quantum mechanics with those provided by standard techniques, as the conventional Borel sum, or its modified versions. We found that our approach is very efficient for obtaining both the low and the high energy behavior of the model.Facultad de Ciencias Exactas2003info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf87-96http://sedici.unlp.edu.ar/handle/10915/84546enginfo:eu-repo/semantics/altIdentifier/issn/0370-2693info:eu-repo/semantics/altIdentifier/doi/10.1016/S0370-2693(03)00106-0info: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:UNLP2025-10-15T11:08:11Zoai:sedici.unlp.edu.ar:10915/84546Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:08:11.935SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Generalized Borel transform technique in quantum mechanics
title Generalized Borel transform technique in quantum mechanics
spellingShingle Generalized Borel transform technique in quantum mechanics
Epele, Luis Nicolás
Ciencias Exactas
Física
Borel transform
Quantum mechanics
title_short Generalized Borel transform technique in quantum mechanics
title_full Generalized Borel transform technique in quantum mechanics
title_fullStr Generalized Borel transform technique in quantum mechanics
title_full_unstemmed Generalized Borel transform technique in quantum mechanics
title_sort Generalized Borel transform technique in quantum mechanics
dc.creator.none.fl_str_mv Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
Marucho, M.
author Epele, Luis Nicolás
author_facet Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
Marucho, M.
author_role author
author2 Fanchiotti, Huner
García Canal, Carlos Alberto
Marucho, M.
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Borel transform
Quantum mechanics
topic Ciencias Exactas
Física
Borel transform
Quantum mechanics
dc.description.none.fl_txt_mv We present the Generalized Borel Transform (GBT). This new approach allows one to obtain approximate solutions of Laplace/Mellin transform valid in both, perturbative and non-perturbative regimes. We compare the results provided by the GBT for a solvable model of quantum mechanics with those provided by standard techniques, as the conventional Borel sum, or its modified versions. We found that our approach is very efficient for obtaining both the low and the high energy behavior of the model.
Facultad de Ciencias Exactas
description We present the Generalized Borel Transform (GBT). This new approach allows one to obtain approximate solutions of Laplace/Mellin transform valid in both, perturbative and non-perturbative regimes. We compare the results provided by the GBT for a solvable model of quantum mechanics with those provided by standard techniques, as the conventional Borel sum, or its modified versions. We found that our approach is very efficient for obtaining both the low and the high energy behavior of the model.
publishDate 2003
dc.date.none.fl_str_mv 2003
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/10915/84546
url http://sedici.unlp.edu.ar/handle/10915/84546
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0370-2693
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0370-2693(03)00106-0
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
87-96
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_ 1846064138195828736
score 13.22299

Publicaciones similares