Fisher information and semiclassical treatments
type: Item
instance of: scholarly article
title: Fisher information and semiclassical treatments
zbMATH Open document ID: 1179.94050
author: F. Pennini
author: Angelo Plastino
author: Gustavo L. Ferri
published in: Entropy
publication date: 2010-01-29T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 5664181
zbMATH Keywords: information theory
zbMATH Keywords: phase space
zbMATH Keywords: semiclassical information
zbMATH Keywords: delocalization
zbMATH Keywords: purity
zbMATH Keywords: thermal uncertainties
zbMATH Keywords: Fisher measures
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/e11040972
OpenAlex ID: W1974460047
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DOI: 10.3390/E11040972
description: scientific article; zbMATH DE number 5664181