Maximum entropy, Lie algebras and quantum thermodynamics

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 associ...

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Autores principales: Varela, Horacio Luis, Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 1994
Materias:
Ciencias Exactas
Física
teoría cuántica
entropía
termodinámica
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/2782
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-2782
record_format dspace
spelling I19-R120-10915-27822023-09-21T20:07:40Z http://sedici.unlp.edu.ar/handle/10915/2782 Maximum entropy, Lie algebras and quantum thermodynamics Varela, Horacio Luis Plastino, Ángel Luis 1994 2004-04-22T03:00:00Z en Ciencias Exactas Física teoría cuántica entropía termodinámica 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 Articulo Articulo http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf 149-175
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
teoría cuántica
entropía
termodinámica
spellingShingle Ciencias Exactas
Física
teoría cuántica
entropía
termodinámica
Varela, Horacio Luis
Plastino, Ángel Luis
Maximum entropy, Lie algebras and quantum thermodynamics
topic_facet Ciencias Exactas
Física
teoría cuántica
entropía
termodinámica
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.
format Articulo
Articulo
author Varela, Horacio Luis
Plastino, Ángel Luis
author_facet Varela, Horacio Luis
Plastino, Ángel Luis
author_sort Varela, Horacio Luis
title Maximum entropy, Lie algebras and quantum thermodynamics
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
publishDate 1994
url http://sedici.unlp.edu.ar/handle/10915/2782
work_keys_str_mv AT varelahoracioluis maximumentropyliealgebrasandquantumthermodynamics
AT plastinoangelluis maximumentropyliealgebrasandquantumthermodynamics
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