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The Fisher Thermodynamics of Quasi-Probabilities

1
Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, Peru y Uruguay, Santa Rosa 6300, Argentina
2
Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta 1270709, Chile
3
Instituto de Física La Plata-Centro Científico Tecnológico-Consejo Nacional de Investigaciones Científicas y Técnicas, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67, La Plata 1900, Argentina
*
Author to whom correspondence should be addressed.
Academic Editor: Takuya Yamano
Entropy 2015, 17(12), 7848-7858; https://doi.org/10.3390/e17127853
Received: 30 September 2015 / Revised: 6 November 2015 / Accepted: 23 November 2015 / Published: 27 November 2015
(This article belongs to the Special Issue Applications of Fisher Information in Sciences)
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PDF [247 KB, uploaded 27 November 2015]
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Abstract

With reference to Lee’s treatment of quasi-probabilities, it is seen that the three phase space quasi-probabilities, known as the P-, Husimi and Wigner ones, plus other intermediate ones, generate a common, single Fisher thermodynamics, along the lines developed by Frieden et al. We explore some facets of such thermodynamics and encounter complementarity between two different kinds of Fisher information. View Full-Text
Keywords: Fisher information; quasi-probabilities; complementarity Fisher information; quasi-probabilities; complementarity
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Pennini, F.; Plastino, A. The Fisher Thermodynamics of Quasi-Probabilities. Entropy 2015, 17, 7848-7858.

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