Semiclassical Treatments and Information Theory
- Authors: Flavia Pennini1, Angelo Plastino2, Gustavo Luis Ferri3
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View Affiliations Hide Affiliations1 Departamento de F´ısica, Universidad Cat´olica del Norte, Av. Angamos 0610, Antofagasta, Chile 2 Instituto de F´ısica La Plata–CCT-CONICET, Fac. de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67, 1900, La Plata, Argentina 3 Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, Uruguay 151, Santa Rosa, La Pampa, Argentina
- Source: Concepts and Recent Advances in Generalized Information Measures and Statistics , pp 256-282
- Publication Date: December 2013
- Language: English
Semiclassical Treatments and Information Theory, Page 1 of 1
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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.
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