Concepts and Recent Advances in Generalized Information Measures and Statistics

Semiclassical Treatments and Information Theory

Author(s): Flavia Pennini, Angelo Plastino and Gustavo Luis Ferri

Pp: 256-282 (27)

DOI: 10.2174/9781608057603113010016

* (Excluding Mailing and Handling)

Abstract

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.


Keywords: Information theory, Semiclassical information, Fisher measures, Phase space, Quantum distributions.

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