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

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....

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Autores principales: Civitarese, Enrique Osvaldo, Gadella, M.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Física
Gamow states
Decay
Peturbations
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/96135
https://ri.conicet.gov.ar/11336/74550
https://journals.aps.org/prc/abstract/10.1103/PhysRevC.86.024602
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-96135
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Gamow states
Decay
Peturbations
spellingShingle Física
Gamow states
Decay
Peturbations
Civitarese, Enrique Osvaldo
Gadella, M.
Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction
topic_facet Física
Gamow states
Decay
Peturbations
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.
format Articulo
Articulo
author Civitarese, Enrique Osvaldo
Gadella, M.
author_facet Civitarese, Enrique Osvaldo
Gadella, M.
author_sort Civitarese, Enrique Osvaldo
title Analyticity of the time dependence of resonance poles: Solving the Friedrichs model with a time-dependent interaction
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
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/96135
https://ri.conicet.gov.ar/11336/74550
https://journals.aps.org/prc/abstract/10.1103/PhysRevC.86.024602
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