Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction

Autores
Civitarese, Enrique Osvaldo; Gadella, M.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We extend the standard Friedrichs model with an extra term that includes time-dependent interactions. The time dependence of the poles of the reduced resolvent of the model is explicitly calculated. It is found that these poles behave as analytical functions of the added time-dependent interaction. The present results are compared with the ones reported by Kälbermann, concerning the assisted tunnelling of α particles. © 2012 American Physical Society.
Facultad de Ciencias Exactas
Consejo Nacional de Investigaciones Científicas y Técnicas
Materia
Física
Gamow states
Decay
Peturbations
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:10915/96135
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/96135
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interactionCivitarese, Enrique OsvaldoGadella, M.FísicaGamow statesDecayPeturbationsWe extend the standard Friedrichs model with an extra term that includes time-dependent interactions. The time dependence of the poles of the reduced resolvent of the model is explicitly calculated. It is found that these poles behave as analytical functions of the added time-dependent interaction. The present results are compared with the ones reported by Kälbermann, concerning the assisted tunnelling of α particles. © 2012 American Physical Society.Facultad de Ciencias ExactasConsejo Nacional de Investigaciones Científicas y Técnicas2012-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf24602-24605http://sedici.unlp.edu.ar/handle/10915/96135enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/74550info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prc/abstract/10.1103/PhysRevC.86.024602info:eu-repo/semantics/altIdentifier/issn/0556-2813info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevC.86.024602info:eu-repo/semantics/altIdentifier/hdl/11336/74550info: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:UNLP2025-09-29T11:20:21Zoai:sedici.unlp.edu.ar:10915/96135Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:20:22.044SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction
title Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction
spellingShingle Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction
Civitarese, Enrique Osvaldo
Física
Gamow states
Decay
Peturbations
title_short Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction
title_full Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction
title_fullStr Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction
title_full_unstemmed Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction
title_sort Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction
dc.creator.none.fl_str_mv Civitarese, Enrique Osvaldo
Gadella, M.
author Civitarese, Enrique Osvaldo
author_facet Civitarese, Enrique Osvaldo
Gadella, M.
author_role author
author2 Gadella, M.
author2_role author
dc.subject.none.fl_str_mv Física
Gamow states
Decay
Peturbations
topic Física
Gamow states
Decay
Peturbations
dc.description.none.fl_txt_mv We extend the standard Friedrichs model with an extra term that includes time-dependent interactions. The time dependence of the poles of the reduced resolvent of the model is explicitly calculated. It is found that these poles behave as analytical functions of the added time-dependent interaction. The present results are compared with the ones reported by Kälbermann, concerning the assisted tunnelling of α particles. © 2012 American Physical Society.
Facultad de Ciencias Exactas
Consejo Nacional de Investigaciones Científicas y Técnicas
description We extend the standard Friedrichs model with an extra term that includes time-dependent interactions. The time dependence of the poles of the reduced resolvent of the model is explicitly calculated. It is found that these poles behave as analytical functions of the added time-dependent interaction. The present results are compared with the ones reported by Kälbermann, concerning the assisted tunnelling of α particles. © 2012 American Physical Society.
publishDate 2012
dc.date.none.fl_str_mv 2012-08
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/10915/96135
url http://sedici.unlp.edu.ar/handle/10915/96135
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/74550
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prc/abstract/10.1103/PhysRevC.86.024602
info:eu-repo/semantics/altIdentifier/issn/0556-2813
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevC.86.024602
info:eu-repo/semantics/altIdentifier/hdl/11336/74550
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
24602-24605
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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