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.
Fil: Civitarese, Enrique Osvaldo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Gadella, M.. Universidad de Valladolid; España
Materia
Gamow states
Decay
Peturbations
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/74550
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/74550
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interactionCivitarese, Enrique OsvaldoGadella, M.Gamow statesDecayPeturbationshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We 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.Fil: Civitarese, Enrique Osvaldo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Gadella, M.. Universidad de Valladolid; EspañaAmerican Physical Society2012-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/74550Civitarese, Enrique Osvaldo; Gadella, M.; Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction; American Physical Society; Physical Review C: Nuclear Physics; 86; 2; 8-2012; 24602-246050556-2813CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevC.86.024602info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prc/abstract/10.1103/PhysRevC.86.024602info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:00:17Zoai:ri.conicet.gov.ar:11336/74550instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:00:17.958CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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
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 Gamow states
Decay
Peturbations
topic Gamow states
Decay
Peturbations
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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.
Fil: Civitarese, Enrique Osvaldo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Gadella, M.. Universidad de Valladolid; España
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
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://hdl.handle.net/11336/74550
Civitarese, Enrique Osvaldo; Gadella, M.; Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction; American Physical Society; Physical Review C: Nuclear Physics; 86; 2; 8-2012; 24602-24605
0556-2813
CONICET Digital
CONICET
url http://hdl.handle.net/11336/74550
identifier_str_mv Civitarese, Enrique Osvaldo; Gadella, M.; Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction; American Physical Society; Physical Review C: Nuclear Physics; 86; 2; 8-2012; 24602-24605
0556-2813
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevC.86.024602
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prc/abstract/10.1103/PhysRevC.86.024602
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613782823763968
score 13.070432

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