Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Fisher information description of the classicalquantal transition |
Autor: | Kowalski, A.M.; Martín, M.T.; Plastino, A.; Rosso, O.A. |
Filiación: | Instituto de Física, Facultad de Ciencias Exactas, Universidad Nacional de la Plata (UNLP), C.C. 727, 1900 La Plata, Argentina Departamento de Física, Instituto de Ciěcncias Exatas, Universidade Federal de Minas Gerais, Av. Antǒnio Carlos, 6627, 31270-901 Belo Horizonte MG, Brazil Chaos and Biology Group, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón II, 1428 Ciudad Autúnoma de Buenos Aires, Argentina Comisin de Investigaciones Cientficas (CICPBA), Argentina Consejo Nacional de Investigaciones Cientficas y Tcnicas (CONICET), Argentina
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Palabras clave: | 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 |
Año: | 2011
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Volumen: | 390
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Número: | 12
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Página de inicio: | 2435
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Página de fin: | 2441
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DOI: |
http://dx.doi.org/10.1016/j.physa.2011.02.009 |
Título revista: | Physica A: Statistical Mechanics and its Applications
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Título revista abreviado: | Phys A Stat Mech Appl
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ISSN: | 03784371
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CODEN: | PHYAD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v390_n12_p2435_Kowalski |
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Citas:
---------- APA ----------
Kowalski, A.M., Martín, M.T., Plastino, A. & Rosso, O.A.
(2011)
. Fisher information description of the classicalquantal transition. Physica A: Statistical Mechanics and its Applications, 390(12), 2435-2441.
http://dx.doi.org/10.1016/j.physa.2011.02.009---------- CHICAGO ----------
Kowalski, A.M., Martín, M.T., Plastino, A., Rosso, O.A.
"Fisher information description of the classicalquantal transition"
. Physica A: Statistical Mechanics and its Applications 390, no. 12
(2011) : 2435-2441.
http://dx.doi.org/10.1016/j.physa.2011.02.009---------- MLA ----------
Kowalski, A.M., Martín, M.T., Plastino, A., Rosso, O.A.
"Fisher information description of the classicalquantal transition"
. Physica A: Statistical Mechanics and its Applications, vol. 390, no. 12, 2011, pp. 2435-2441.
http://dx.doi.org/10.1016/j.physa.2011.02.009---------- VANCOUVER ----------
Kowalski, A.M., Martín, M.T., Plastino, A., Rosso, O.A. Fisher information description of the classicalquantal transition. Phys A Stat Mech Appl. 2011;390(12):2435-2441.
http://dx.doi.org/10.1016/j.physa.2011.02.009