Fisher Information and Semiclassical Treatments

Fisher Information and Semiclassical Treatments

We review here the difference between quantum statistical treatments and semiclassical ones, using as the main concomitant tool a semiclassical, shift-invariant Fisher information measure built up with Husimi distributions. Its semiclassical character notwithstanding, this measure also contains abun...

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Bibliographic Details
Main Authors: Angelo Plastino, Flavia Pennini, Gustavo Ferri
Format: Article
Language:English
Published: MDPI AG 2009-12-01
Series:Entropy
Subjects:
information theory
phase space
semiclassical information
delocalization
purity
thermal uncertainties
Fisher measures
Online Access:http://www.mdpi.com/1099-4300/11/4/972/
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spelling doaj-32b8966b35664e8eb459ecb55ff892f82020-11-24T22:43:18ZengMDPI AGEntropy1099-43002009-12-0111497299210.3390/e11040972Fisher Information and Semiclassical TreatmentsAngelo PlastinoFlavia PenniniGustavo FerriWe review here the difference between quantum statistical treatments and semiclassical ones, using as the main concomitant tool a semiclassical, shift-invariant Fisher information measure built up with Husimi distributions. Its semiclassical character notwithstanding, this measure also contains abundant information of a purely quantal nature. Such a tool allows us to refine the celebrated Lieb bound for Wehrl entropies and to discover thermodynamic-like relations that involve the degree of delocalization. Fisher-related thermal uncertainty relations are developed and the degree of purity of canonical distributions, regarded as mixed states, is connected to this Fisher measure as well. http://www.mdpi.com/1099-4300/11/4/972/information theoryphase spacesemiclassical informationdelocalizationpuritythermal uncertaintiesFisher measures
collection DOAJ
language English
format Article
sources DOAJ
author Angelo Plastino
Flavia Pennini
Gustavo Ferri
spellingShingle Angelo Plastino
Flavia Pennini
Gustavo Ferri
Fisher Information and Semiclassical Treatments
Entropy
information theory
phase space
semiclassical information
delocalization
purity
thermal uncertainties
Fisher measures
author_facet Angelo Plastino
Flavia Pennini
Gustavo Ferri
author_sort Angelo Plastino
title Fisher Information and Semiclassical Treatments
title_short Fisher Information and Semiclassical Treatments
title_full Fisher Information and Semiclassical Treatments
title_fullStr Fisher Information and Semiclassical Treatments
title_full_unstemmed Fisher Information and Semiclassical Treatments
title_sort fisher information and semiclassical treatments
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2009-12-01
description We review here the difference between quantum statistical treatments and semiclassical ones, using as the main concomitant tool a semiclassical, shift-invariant Fisher information measure built up with Husimi distributions. Its semiclassical character notwithstanding, this measure also contains abundant information of a purely quantal nature. Such a tool allows us to refine the celebrated Lieb bound for Wehrl entropies and to discover thermodynamic-like relations that involve the degree of delocalization. Fisher-related thermal uncertainty relations are developed and the degree of purity of canonical distributions, regarded as mixed states, is connected to this Fisher measure as well.
topic information theory
phase space
semiclassical information
delocalization
purity
thermal uncertainties
Fisher measures
url http://www.mdpi.com/1099-4300/11/4/972/
work_keys_str_mv AT angeloplastino fisherinformationandsemiclassicaltreatments
AT flaviapennini fisherinformationandsemiclassicaltreatments
AT gustavoferri fisherinformationandsemiclassicaltreatments
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