Fisher information, Wehrl entropy, and Landau diamagnetism

Autores
Curilef, S.; Pennini, Flavia; Plastino, Ángel Luis
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Using information theoretic quantities like the Wehrl entropy and Fisher's information measure we study the thermodynamics of the problem leading to Landau's diamagnetism, namely, a free spinless electron in a uniform magnetic field. It is shown that such a problem can be "translated" into that of the thermal harmonic oscillator. We discover a new Fisher-uncertainty relation, derived via the Cramer-Rao inequality, that involves phase space localization and energy fluctuations.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
Wehrl entropy
Fisher’s information measure
Thermodynamics
Landau’s diamagnetism
Fisher-uncertainty relation
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:10915/125890
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/125890
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Fisher information, Wehrl entropy, and Landau diamagnetismCurilef, S.Pennini, FlaviaPlastino, Ángel LuisCiencias ExactasFísicaWehrl entropyFisher’s information measureThermodynamicsLandau’s diamagnetismFisher-uncertainty relationUsing information theoretic quantities like the Wehrl entropy and Fisher's information measure we study the thermodynamics of the problem leading to Landau's diamagnetism, namely, a free spinless electron in a uniform magnetic field. It is shown that such a problem can be "translated" into that of the thermal harmonic oscillator. We discover a new Fisher-uncertainty relation, derived via the Cramer-Rao inequality, that involves phase space localization and energy fluctuations.Facultad de Ciencias ExactasInstituto de Física La Plata2005-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/125890enginfo:eu-repo/semantics/altIdentifier/issn/1098-0121info:eu-repo/semantics/altIdentifier/issn/1550-235Xinfo:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0409589info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevb.71.024420info: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:UNLP2025-10-22T17:11:16Zoai:sedici.unlp.edu.ar:10915/125890Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:11:16.412SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Fisher information, Wehrl entropy, and Landau diamagnetism
title Fisher information, Wehrl entropy, and Landau diamagnetism
spellingShingle Fisher information, Wehrl entropy, and Landau diamagnetism
Curilef, S.
Ciencias Exactas
Física
Wehrl entropy
Fisher’s information measure
Thermodynamics
Landau’s diamagnetism
Fisher-uncertainty relation
title_short Fisher information, Wehrl entropy, and Landau diamagnetism
title_full Fisher information, Wehrl entropy, and Landau diamagnetism
title_fullStr Fisher information, Wehrl entropy, and Landau diamagnetism
title_full_unstemmed Fisher information, Wehrl entropy, and Landau diamagnetism
title_sort Fisher information, Wehrl entropy, and Landau diamagnetism
dc.creator.none.fl_str_mv Curilef, S.
Pennini, Flavia
Plastino, Ángel Luis
author Curilef, S.
author_facet Curilef, S.
Pennini, Flavia
Plastino, Ángel Luis
author_role author
author2 Pennini, Flavia
Plastino, Ángel Luis
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Wehrl entropy
Fisher’s information measure
Thermodynamics
Landau’s diamagnetism
Fisher-uncertainty relation
topic Ciencias Exactas
Física
Wehrl entropy
Fisher’s information measure
Thermodynamics
Landau’s diamagnetism
Fisher-uncertainty relation
dc.description.none.fl_txt_mv Using information theoretic quantities like the Wehrl entropy and Fisher's information measure we study the thermodynamics of the problem leading to Landau's diamagnetism, namely, a free spinless electron in a uniform magnetic field. It is shown that such a problem can be "translated" into that of the thermal harmonic oscillator. We discover a new Fisher-uncertainty relation, derived via the Cramer-Rao inequality, that involves phase space localization and energy fluctuations.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description Using information theoretic quantities like the Wehrl entropy and Fisher's information measure we study the thermodynamics of the problem leading to Landau's diamagnetism, namely, a free spinless electron in a uniform magnetic field. It is shown that such a problem can be "translated" into that of the thermal harmonic oscillator. We discover a new Fisher-uncertainty relation, derived via the Cramer-Rao inequality, that involves phase space localization and energy fluctuations.
publishDate 2005
dc.date.none.fl_str_mv 2005-01
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/10915/125890
url http://sedici.unlp.edu.ar/handle/10915/125890
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1098-0121
info:eu-repo/semantics/altIdentifier/issn/1550-235X
info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0409589
info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevb.71.024420
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
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 12.982451

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