{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T05:56:23Z","timestamp":1771048583654,"version":"3.50.1"},"reference-count":36,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2015,11,27]],"date-time":"2015-11-27T00:00:00Z","timestamp":1448582400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>With reference to Lee\u2019s 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.<\/jats:p>","DOI":"10.3390\/e17127853","type":"journal-article","created":{"date-parts":[[2015,11,27]],"date-time":"2015-11-27T10:25:29Z","timestamp":1448619929000},"page":"7848-7858","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["The Fisher Thermodynamics of Quasi-Probabilities"],"prefix":"10.3390","volume":"17","author":[{"given":"Flavia","family":"Pennini","sequence":"first","affiliation":[{"name":"Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, Peru y Uruguay, Santa Rosa 6300, Argentina"},{"name":"Departamento de F\u00edsica, Universidad Cat\u00f3lica del Norte, Av. Angamos 0610, Antofagasta 1270709, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Angelo","family":"Plastino","sequence":"additional","affiliation":[{"name":"Instituto de F\u00edsica La Plata-Centro Cient\u00edfico Tecnol\u00f3gico-Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67, La Plata 1900, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2015,11,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Frieden, B.R. (1998). Physics from Fisher Information, Cambridge University Press.","DOI":"10.1017\/CBO9780511622670"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"066117","DOI":"10.1103\/PhysRevE.82.066117","article-title":"Quantifying system order for full and partial coarse graining","volume":"82","author":"Frieden","year":"2010","journal-title":"Phys. Rev. E"},{"key":"ref_3","unstructured":"Katz, A. (1967). Principles of Statistical Mechanics, W.H. Freeman and Company."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1103\/PhysRevE.60.48","article-title":"Fisher-based thermodynamics: Its Legendre transforma and concavity properties","volume":"60","author":"Frieden","year":"1999","journal-title":"Phys. Rev. E"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Frieden, B.R., and Soffer, B.H. (1995). Lafrangians of physics and the game of Fisher-information transfer. Phys. Rev. E, 52.","DOI":"10.1103\/PhysRevE.52.2274"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Frieden, B.R., Plastino, A., Plastino, A.R., and Soffer, B. (2002). A Schr\u00f6dinger link between non-equilibrium thermodynamics and Fisher information.","DOI":"10.1103\/PhysRevE.66.046128"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/S0375-9601(02)01367-1","article-title":"Non-equilibrium thermodynamics and Fisher information: An illustrative example","volume":"304","author":"Frieden","year":"2002","journal-title":"Phys. Lett. A"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"016105","DOI":"10.1103\/PhysRevE.68.016105","article-title":"Nonequilibrium thermodynamics and Fisher information: Sound wave propagation in a dilute gas","volume":"68","author":"Flego","year":"2003","journal-title":"Phys. Rev. E"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"047102","DOI":"10.1103\/PhysRevE.71.047102","article-title":"Reciprocity relations between ordinary temperature and the Frieden-Soffer Fisher temperature","volume":"71","author":"Pennini","year":"2005","journal-title":"Phy. Rev. 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