Fisher information description of the classicalquantal transition

We investigate the classical limit of the dynamics of a semiclassical system that represents the interaction between matter and a given field. The concept of Fisher Information measure (F) on using as a quantifier of the process, we find that it adequately describes the transition, detecting the mos...

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Publicado: 2011
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v390_n12_p2435_Kowalski
http://hdl.handle.net/20.500.12110/paper_03784371_v390_n12_p2435_Kowalski
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spelling paper:paper_03784371_v390_n12_p2435_Kowalski2023-06-08T15:40:14Z Fisher information description of the classicalquantal transition Fisher information Information theory Quantum chaos Semiclassical theories Statistical complexity Classical limits Fisher information Fisher information measures Information quantifiers Quantum chaos Semiclassical theories Shannon entropy Statistical complexity Chaos theory Entropy Information theory Probability distributions Quantum theory Visualization Fisher information matrix We investigate the classical limit of the dynamics of a semiclassical system that represents the interaction between matter and a given field. The concept of Fisher Information measure (F) on using as a quantifier of the process, we find that it adequately describes the transition, detecting the most salient details of the changeover. Used in conjunction with other possible information quantifiers, such as the Normalized Shannon Entropy (H) and the Statistical Complexity (C) by recourse to appropriate planar representations like the Fisher Entropy (F×H) and Fisher Complexity (F×C) planes, one obtains a better visualization of the transition than that provided by just one quantifier by itself. In the evaluation of these Information Theory quantifiers, we used the Bandt and Pompe methodology for the obtention of the corresponding probability distribution. © 2011 Elsevier B.V. All rights reserved. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v390_n12_p2435_Kowalski http://hdl.handle.net/20.500.12110/paper_03784371_v390_n12_p2435_Kowalski
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Fisher information
Information theory
Quantum chaos
Semiclassical theories
Statistical complexity
Classical limits
Fisher information
Fisher information measures
Information quantifiers
Quantum chaos
Semiclassical theories
Shannon entropy
Statistical complexity
Chaos theory
Entropy
Information theory
Probability distributions
Quantum theory
Visualization
Fisher information matrix
spellingShingle Fisher information
Information theory
Quantum chaos
Semiclassical theories
Statistical complexity
Classical limits
Fisher information
Fisher information measures
Information quantifiers
Quantum chaos
Semiclassical theories
Shannon entropy
Statistical complexity
Chaos theory
Entropy
Information theory
Probability distributions
Quantum theory
Visualization
Fisher information matrix
Fisher information description of the classicalquantal transition
topic_facet Fisher information
Information theory
Quantum chaos
Semiclassical theories
Statistical complexity
Classical limits
Fisher information
Fisher information measures
Information quantifiers
Quantum chaos
Semiclassical theories
Shannon entropy
Statistical complexity
Chaos theory
Entropy
Information theory
Probability distributions
Quantum theory
Visualization
Fisher information matrix
description We investigate the classical limit of the dynamics of a semiclassical system that represents the interaction between matter and a given field. The concept of Fisher Information measure (F) on using as a quantifier of the process, we find that it adequately describes the transition, detecting the most salient details of the changeover. Used in conjunction with other possible information quantifiers, such as the Normalized Shannon Entropy (H) and the Statistical Complexity (C) by recourse to appropriate planar representations like the Fisher Entropy (F×H) and Fisher Complexity (F×C) planes, one obtains a better visualization of the transition than that provided by just one quantifier by itself. In the evaluation of these Information Theory quantifiers, we used the Bandt and Pompe methodology for the obtention of the corresponding probability distribution. © 2011 Elsevier B.V. All rights reserved.
title Fisher information description of the classicalquantal transition
title_short Fisher information description of the classicalquantal transition
title_full Fisher information description of the classicalquantal transition
title_fullStr Fisher information description of the classicalquantal transition
title_full_unstemmed Fisher information description of the classicalquantal transition
title_sort fisher information description of the classicalquantal transition
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v390_n12_p2435_Kowalski
http://hdl.handle.net/20.500.12110/paper_03784371_v390_n12_p2435_Kowalski
_version_ 1768545467950432256