Fisher information, Wehrl entropy, and Landau diamagnetism

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&...

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Detalles Bibliográficos
Autores principales: Curilef, S., Pennini, Flavia, Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2005
Materias:
Ciencias Exactas
Física
Wehrl entropy
Fisher’s information measure
Thermodynamics
Landau’s diamagnetism
Fisher-uncertainty relation
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125890
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125890
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Wehrl entropy
Fisher’s information measure
Thermodynamics
Landau’s diamagnetism
Fisher-uncertainty relation
spellingShingle Ciencias Exactas
Física
Wehrl entropy
Fisher’s information measure
Thermodynamics
Landau’s diamagnetism
Fisher-uncertainty relation
Curilef, S.
Pennini, Flavia
Plastino, Ángel Luis
Fisher information, Wehrl entropy, and Landau diamagnetism
topic_facet Ciencias Exactas
Física
Wehrl entropy
Fisher’s information measure
Thermodynamics
Landau’s diamagnetism
Fisher-uncertainty relation
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.
format Articulo
Articulo
author Curilef, S.
Pennini, Flavia
Plastino, Ángel Luis
author_facet Curilef, S.
Pennini, Flavia
Plastino, Ángel Luis
author_sort Curilef, S.
title Fisher information, Wehrl entropy, and Landau diamagnetism
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
publishDate 2005
url http://sedici.unlp.edu.ar/handle/10915/125890
work_keys_str_mv AT curilefs fisherinformationwehrlentropyandlandaudiamagnetism
AT penniniflavia fisherinformationwehrlentropyandlandaudiamagnetism
AT plastinoangelluis fisherinformationwehrlentropyandlandaudiamagnetism
bdutipo_str Repositorios
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