On the entropy for unstable fermionic and bosonic states

Autores
Civitarese, Enrique Osvaldo; Gadella Urquiza, Manuel
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We focus on the calculation of the entropy for decaying states in non-relativistic quantum mechanics. The starting point is the Friedrichs model in second quantization language. In this model, the Hamiltonian admits a spectral representation which includes resonances and Gamow states explicitly. In order to avoid the limitations posed by the definition of canonical probabilities in the presence of a complex spectrum, and/or the use of complex temperatures, we construct the partition function performing a path integration over coherent states. It is shown that the path integration yields results which are correct, at leading order, within the framework of the thermal perturbation theory. Finally, we obtain an expression for the canonical entropy of a quantum decaying system composed of fermion- and boson-states.
Fil: Civitarese, Enrique Osvaldo. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Gadella Urquiza, Manuel. Universidad de Valladolid. Facultad de Ciencias; España
Materia
Canonical Gamow State
Entropy for Unstable States
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:11336/23732
Acceder
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network_name_str CONICET Digital (CONICET)
spelling On the entropy for unstable fermionic and bosonic statesCivitarese, Enrique OsvaldoGadella Urquiza, ManuelCanonical Gamow StateEntropy for Unstable Stateshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We focus on the calculation of the entropy for decaying states in non-relativistic quantum mechanics. The starting point is the Friedrichs model in second quantization language. In this model, the Hamiltonian admits a spectral representation which includes resonances and Gamow states explicitly. In order to avoid the limitations posed by the definition of canonical probabilities in the presence of a complex spectrum, and/or the use of complex temperatures, we construct the partition function performing a path integration over coherent states. It is shown that the path integration yields results which are correct, at leading order, within the framework of the thermal perturbation theory. Finally, we obtain an expression for the canonical entropy of a quantum decaying system composed of fermion- and boson-states.Fil: Civitarese, Enrique Osvaldo. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Gadella Urquiza, Manuel. Universidad de Valladolid. Facultad de Ciencias; EspañaElsevier2014-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/23732Civitarese, Enrique Osvaldo; Gadella Urquiza, Manuel; On the entropy for unstable fermionic and bosonic states; Elsevier; Physica A: Statistical Mechanics and its Applications; 404; 3-2014; 302-3140378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437114001666info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2014.02.057info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:21:23Zoai:ri.conicet.gov.ar:11336/23732instacron: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 10:21:24.24CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the entropy for unstable fermionic and bosonic states
title On the entropy for unstable fermionic and bosonic states
spellingShingle On the entropy for unstable fermionic and bosonic states
Civitarese, Enrique Osvaldo
Canonical Gamow State
Entropy for Unstable States
title_short On the entropy for unstable fermionic and bosonic states
title_full On the entropy for unstable fermionic and bosonic states
title_fullStr On the entropy for unstable fermionic and bosonic states
title_full_unstemmed On the entropy for unstable fermionic and bosonic states
title_sort On the entropy for unstable fermionic and bosonic states
dc.creator.none.fl_str_mv Civitarese, Enrique Osvaldo
Gadella Urquiza, Manuel
author Civitarese, Enrique Osvaldo
author_facet Civitarese, Enrique Osvaldo
Gadella Urquiza, Manuel
author_role author
author2 Gadella Urquiza, Manuel
author2_role author
dc.subject.none.fl_str_mv Canonical Gamow State
Entropy for Unstable States
topic Canonical Gamow State
Entropy for Unstable States
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 focus on the calculation of the entropy for decaying states in non-relativistic quantum mechanics. The starting point is the Friedrichs model in second quantization language. In this model, the Hamiltonian admits a spectral representation which includes resonances and Gamow states explicitly. In order to avoid the limitations posed by the definition of canonical probabilities in the presence of a complex spectrum, and/or the use of complex temperatures, we construct the partition function performing a path integration over coherent states. It is shown that the path integration yields results which are correct, at leading order, within the framework of the thermal perturbation theory. Finally, we obtain an expression for the canonical entropy of a quantum decaying system composed of fermion- and boson-states.
Fil: Civitarese, Enrique Osvaldo. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Gadella Urquiza, Manuel. Universidad de Valladolid. Facultad de Ciencias; España
description We focus on the calculation of the entropy for decaying states in non-relativistic quantum mechanics. The starting point is the Friedrichs model in second quantization language. In this model, the Hamiltonian admits a spectral representation which includes resonances and Gamow states explicitly. In order to avoid the limitations posed by the definition of canonical probabilities in the presence of a complex spectrum, and/or the use of complex temperatures, we construct the partition function performing a path integration over coherent states. It is shown that the path integration yields results which are correct, at leading order, within the framework of the thermal perturbation theory. Finally, we obtain an expression for the canonical entropy of a quantum decaying system composed of fermion- and boson-states.
publishDate 2014
dc.date.none.fl_str_mv 2014-03
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/11336/23732
Civitarese, Enrique Osvaldo; Gadella Urquiza, Manuel; On the entropy for unstable fermionic and bosonic states; Elsevier; Physica A: Statistical Mechanics and its Applications; 404; 3-2014; 302-314
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/23732
identifier_str_mv Civitarese, Enrique Osvaldo; Gadella Urquiza, Manuel; On the entropy for unstable fermionic and bosonic states; Elsevier; Physica A: Statistical Mechanics and its Applications; 404; 3-2014; 302-314
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437114001666
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2014.02.057
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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score 13.070432

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