Magic Numbers and Mixing Degree in Many-Fermion Systems

Autores
Monteoliva, D.; Plastino, Ángel Luis; Plastino, Ángel Ricardo
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider an N fermion system at low temperature T in which we encounter special particle number values (Formula presented.) exhibiting special traits. These values arise when focusing attention upon the degree of mixture (DM) of the pertinent quantum states. Given the coupling constant of the Hamiltonian, the DMs stay constant for all N-values but experience sudden jumps at the (Formula presented.). For a quantum state described by the matrix (Formula presented.), its purity is expressed by (Formula presented.) and then the degree of mixture is given by (Formula presented.), a quantity that coincides with the entropy (Formula presented.) for (Formula presented.). Thus, Tsallis entropy of index two faithfully represents the degree of mixing of a state, that is, it measures the extent to which the state departs from maximal purity. Macroscopic manifestations of the degree of mixing can be observed through various physical quantities. Our present study is closely related to properties of many-fermion systems that are usually manipulated at zero temperature. Here, we wish to study the subject at finite temperature. The Gibbs ensemble is appealed to. Some interesting insights are thereby gained.
Fil: Monteoliva, D.. Universidad Nacional de La Plata; Argentina. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas; Argentina
Fil: Plastino, Ángel Luis. 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: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); Argentina
Materia
FINITE TEMPERATURE
MAGIC NUMBERS
MANY-FERMION SYSTEMS
MIXTURE DEGREE
TSALLIS ENTROPY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/220624
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/220624
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Magic Numbers and Mixing Degree in Many-Fermion SystemsMonteoliva, D.Plastino, Ángel LuisPlastino, Ángel RicardoFINITE TEMPERATUREMAGIC NUMBERSMANY-FERMION SYSTEMSMIXTURE DEGREETSALLIS ENTROPYhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We consider an N fermion system at low temperature T in which we encounter special particle number values (Formula presented.) exhibiting special traits. These values arise when focusing attention upon the degree of mixture (DM) of the pertinent quantum states. Given the coupling constant of the Hamiltonian, the DMs stay constant for all N-values but experience sudden jumps at the (Formula presented.). For a quantum state described by the matrix (Formula presented.), its purity is expressed by (Formula presented.) and then the degree of mixture is given by (Formula presented.), a quantity that coincides with the entropy (Formula presented.) for (Formula presented.). Thus, Tsallis entropy of index two faithfully represents the degree of mixing of a state, that is, it measures the extent to which the state departs from maximal purity. Macroscopic manifestations of the degree of mixing can be observed through various physical quantities. Our present study is closely related to properties of many-fermion systems that are usually manipulated at zero temperature. Here, we wish to study the subject at finite temperature. The Gibbs ensemble is appealed to. Some interesting insights are thereby gained.Fil: Monteoliva, D.. Universidad Nacional de La Plata; Argentina. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas; ArgentinaFil: Plastino, Ángel Luis. 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: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); ArgentinaMolecular Diversity Preservation International2023-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/220624Monteoliva, D.; Plastino, Ángel Luis; Plastino, Ángel Ricardo; Magic Numbers and Mixing Degree in Many-Fermion Systems; Molecular Diversity Preservation International; Entropy; 25; 8; 8-2023; 1-111099-4300CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/25/8/1206info:eu-repo/semantics/altIdentifier/doi/10.3390/e25081206info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:21:14Zoai:ri.conicet.gov.ar:11336/220624instacron: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 10:21:14.87CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Magic Numbers and Mixing Degree in Many-Fermion Systems
title Magic Numbers and Mixing Degree in Many-Fermion Systems
spellingShingle Magic Numbers and Mixing Degree in Many-Fermion Systems
Monteoliva, D.
FINITE TEMPERATURE
MAGIC NUMBERS
MANY-FERMION SYSTEMS
MIXTURE DEGREE
TSALLIS ENTROPY
title_short Magic Numbers and Mixing Degree in Many-Fermion Systems
title_full Magic Numbers and Mixing Degree in Many-Fermion Systems
title_fullStr Magic Numbers and Mixing Degree in Many-Fermion Systems
title_full_unstemmed Magic Numbers and Mixing Degree in Many-Fermion Systems
title_sort Magic Numbers and Mixing Degree in Many-Fermion Systems
dc.creator.none.fl_str_mv Monteoliva, D.
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author Monteoliva, D.
author_facet Monteoliva, D.
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author_role author
author2 Plastino, Ángel Luis
Plastino, Ángel Ricardo
author2_role author
author
dc.subject.none.fl_str_mv FINITE TEMPERATURE
MAGIC NUMBERS
MANY-FERMION SYSTEMS
MIXTURE DEGREE
TSALLIS ENTROPY
topic FINITE TEMPERATURE
MAGIC NUMBERS
MANY-FERMION SYSTEMS
MIXTURE DEGREE
TSALLIS ENTROPY
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 consider an N fermion system at low temperature T in which we encounter special particle number values (Formula presented.) exhibiting special traits. These values arise when focusing attention upon the degree of mixture (DM) of the pertinent quantum states. Given the coupling constant of the Hamiltonian, the DMs stay constant for all N-values but experience sudden jumps at the (Formula presented.). For a quantum state described by the matrix (Formula presented.), its purity is expressed by (Formula presented.) and then the degree of mixture is given by (Formula presented.), a quantity that coincides with the entropy (Formula presented.) for (Formula presented.). Thus, Tsallis entropy of index two faithfully represents the degree of mixing of a state, that is, it measures the extent to which the state departs from maximal purity. Macroscopic manifestations of the degree of mixing can be observed through various physical quantities. Our present study is closely related to properties of many-fermion systems that are usually manipulated at zero temperature. Here, we wish to study the subject at finite temperature. The Gibbs ensemble is appealed to. Some interesting insights are thereby gained.
Fil: Monteoliva, D.. Universidad Nacional de La Plata; Argentina. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas; Argentina
Fil: Plastino, Ángel Luis. 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: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); Argentina
description We consider an N fermion system at low temperature T in which we encounter special particle number values (Formula presented.) exhibiting special traits. These values arise when focusing attention upon the degree of mixture (DM) of the pertinent quantum states. Given the coupling constant of the Hamiltonian, the DMs stay constant for all N-values but experience sudden jumps at the (Formula presented.). For a quantum state described by the matrix (Formula presented.), its purity is expressed by (Formula presented.) and then the degree of mixture is given by (Formula presented.), a quantity that coincides with the entropy (Formula presented.) for (Formula presented.). Thus, Tsallis entropy of index two faithfully represents the degree of mixing of a state, that is, it measures the extent to which the state departs from maximal purity. Macroscopic manifestations of the degree of mixing can be observed through various physical quantities. Our present study is closely related to properties of many-fermion systems that are usually manipulated at zero temperature. Here, we wish to study the subject at finite temperature. The Gibbs ensemble is appealed to. Some interesting insights are thereby gained.
publishDate 2023
dc.date.none.fl_str_mv 2023-08
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/11336/220624
Monteoliva, D.; Plastino, Ángel Luis; Plastino, Ángel Ricardo; Magic Numbers and Mixing Degree in Many-Fermion Systems; Molecular Diversity Preservation International; Entropy; 25; 8; 8-2023; 1-11
1099-4300
CONICET Digital
CONICET
url http://hdl.handle.net/11336/220624
identifier_str_mv Monteoliva, D.; Plastino, Ángel Luis; Plastino, Ángel Ricardo; Magic Numbers and Mixing Degree in Many-Fermion Systems; Molecular Diversity Preservation International; Entropy; 25; 8; 8-2023; 1-11
1099-4300
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/25/8/1206
info:eu-repo/semantics/altIdentifier/doi/10.3390/e25081206
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Molecular Diversity Preservation International
publisher.none.fl_str_mv Molecular Diversity Preservation International
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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