Heisenberg-Fisher thermal uncertainty measure

We establish a connection among (i) the so-called Wehrl entropy, (ii) Fisher's information measure I(beta), and (iii) the canonical ensemble entropy for the one-dimensional quantum harmonic oscillator (HO). We show that the contribution of the excited HO spectrum to the mean thermal energy is g...

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Detalles Bibliográficos
Autores principales: Pennini, Flavia, Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2004
Materias:
Física
Joint entropy
Entropy in thermodynamics and information theory
Wehrl entropy
H-theorem
Canonical ensemble
Mathematics
Mathematical physics
Joint quantum entropy
Maximum entropy thermodynamics
Partition function (statistical mechanics)
Quantum mechanics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126315
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126315
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Joint entropy
Entropy in thermodynamics and information theory
Wehrl entropy
H-theorem
Canonical ensemble
Mathematics
Mathematical physics
Joint quantum entropy
Maximum entropy thermodynamics
Partition function (statistical mechanics)
Quantum mechanics
spellingShingle Física
Joint entropy
Entropy in thermodynamics and information theory
Wehrl entropy
H-theorem
Canonical ensemble
Mathematics
Mathematical physics
Joint quantum entropy
Maximum entropy thermodynamics
Partition function (statistical mechanics)
Quantum mechanics
Pennini, Flavia
Plastino, Ángel Luis
Heisenberg-Fisher thermal uncertainty measure
topic_facet Física
Joint entropy
Entropy in thermodynamics and information theory
Wehrl entropy
H-theorem
Canonical ensemble
Mathematics
Mathematical physics
Joint quantum entropy
Maximum entropy thermodynamics
Partition function (statistical mechanics)
Quantum mechanics
description We establish a connection among (i) the so-called Wehrl entropy, (ii) Fisher's information measure I(beta), and (iii) the canonical ensemble entropy for the one-dimensional quantum harmonic oscillator (HO). We show that the contribution of the excited HO spectrum to the mean thermal energy is given by Iβ, while the pertinent canonical partition function is essentially given by another Fisher measure: the so-called shift invariant one. Our findings should be of interest in view of the fact that it has been shown that the Legendre transform structure of thermodynamics can be replicated without any change if one replaces the Boltzmann-Gibbs-Shannon entropy by Fisher's information measure [Phys. Rev. E 60, 48 (1999)]]. Fisher-related uncertainty relations are also advanced, together with a Fisher version of thermodynamics' third law.
format Articulo
Articulo
author Pennini, Flavia
Plastino, Ángel Luis
author_facet Pennini, Flavia
Plastino, Ángel Luis
author_sort Pennini, Flavia
title Heisenberg-Fisher thermal uncertainty measure
title_short Heisenberg-Fisher thermal uncertainty measure
title_full Heisenberg-Fisher thermal uncertainty measure
title_fullStr Heisenberg-Fisher thermal uncertainty measure
title_full_unstemmed Heisenberg-Fisher thermal uncertainty measure
title_sort heisenberg-fisher thermal uncertainty measure
publishDate 2004
url http://sedici.unlp.edu.ar/handle/10915/126315
work_keys_str_mv AT penniniflavia heisenbergfisherthermaluncertaintymeasure
AT plastinoangelluis heisenbergfisherthermaluncertaintymeasure
bdutipo_str Repositorios
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