Maximum entropy, Lie algebras and quantum thermodynamics

Autores
Varela, Horacio Luis; Plastino, Ángel Luis
Año de publicación
1994
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An exactly solvable quantum many-fermion system with an arbitrarily strong two-body interaction is studied and some exact thermodynamic functions (in the thermodynamic limit) are derived within the framework of the statistical inference scheme based on information theory. The solution for the associated su(3) Clebsch-Gordan series (for any number of particles) is given. A very important relation between the (many-body) system`s entropy per particle (in the thermodynamic limit) and the multiple Kronecker product multiplicities (for any member of an infinite class of Lie-algebraic exactly solvable models) is demonstrated. A general procedure for the treatment of the full class of solvable models is outlined.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
teoría cuántica
entropía
termodinámica
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:10915/2782
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/2782
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Maximum entropy, Lie algebras and quantum thermodynamicsVarela, Horacio LuisPlastino, Ángel LuisCiencias ExactasFísicateoría cuánticaentropíatermodinámicaAn exactly solvable quantum many-fermion system with an arbitrarily strong two-body interaction is studied and some exact thermodynamic functions (in the thermodynamic limit) are derived within the framework of the statistical inference scheme based on information theory. The solution for the associated su(3) Clebsch-Gordan series (for any number of particles) is given. A very important relation between the (many-body) system`s entropy per particle (in the thermodynamic limit) and the multiple Kronecker product multiplicities (for any member of an infinite class of Lie-algebraic exactly solvable models) is demonstrated. A general procedure for the treatment of the full class of solvable models is outlined.Facultad de Ciencias Exactas1994info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf149-175http://sedici.unlp.edu.ar/handle/10915/2782enginfo:eu-repo/semantics/altIdentifier/issn/0378-4371info:eu-repo/semantics/altIdentifier/doi/10.1016/0378-4371(94)90122-8info: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:UNLP2025-09-29T10:49:01Zoai:sedici.unlp.edu.ar:10915/2782Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 10:49:01.706SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Maximum entropy, Lie algebras and quantum thermodynamics
title Maximum entropy, Lie algebras and quantum thermodynamics
spellingShingle Maximum entropy, Lie algebras and quantum thermodynamics
Varela, Horacio Luis
Ciencias Exactas
Física
teoría cuántica
entropía
termodinámica
title_short Maximum entropy, Lie algebras and quantum thermodynamics
title_full Maximum entropy, Lie algebras and quantum thermodynamics
title_fullStr Maximum entropy, Lie algebras and quantum thermodynamics
title_full_unstemmed Maximum entropy, Lie algebras and quantum thermodynamics
title_sort Maximum entropy, Lie algebras and quantum thermodynamics
dc.creator.none.fl_str_mv Varela, Horacio Luis
Plastino, Ángel Luis
author Varela, Horacio Luis
author_facet Varela, Horacio Luis
Plastino, Ángel Luis
author_role author
author2 Plastino, Ángel Luis
author2_role author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
teoría cuántica
entropía
termodinámica
topic Ciencias Exactas
Física
teoría cuántica
entropía
termodinámica
dc.description.none.fl_txt_mv An exactly solvable quantum many-fermion system with an arbitrarily strong two-body interaction is studied and some exact thermodynamic functions (in the thermodynamic limit) are derived within the framework of the statistical inference scheme based on information theory. The solution for the associated su(3) Clebsch-Gordan series (for any number of particles) is given. A very important relation between the (many-body) system`s entropy per particle (in the thermodynamic limit) and the multiple Kronecker product multiplicities (for any member of an infinite class of Lie-algebraic exactly solvable models) is demonstrated. A general procedure for the treatment of the full class of solvable models is outlined.
Facultad de Ciencias Exactas
description An exactly solvable quantum many-fermion system with an arbitrarily strong two-body interaction is studied and some exact thermodynamic functions (in the thermodynamic limit) are derived within the framework of the statistical inference scheme based on information theory. The solution for the associated su(3) Clebsch-Gordan series (for any number of particles) is given. A very important relation between the (many-body) system`s entropy per particle (in the thermodynamic limit) and the multiple Kronecker product multiplicities (for any member of an infinite class of Lie-algebraic exactly solvable models) is demonstrated. A general procedure for the treatment of the full class of solvable models is outlined.
publishDate 1994
dc.date.none.fl_str_mv 1994
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/10915/2782
url http://sedici.unlp.edu.ar/handle/10915/2782
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0378-4371
info:eu-repo/semantics/altIdentifier/doi/10.1016/0378-4371(94)90122-8
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
149-175
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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score 13.070432

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