Semiclassical Treatments and Information Theory
Pp. 256-282 (27)
Flavia Pennini, Angelo Plastino and Gustavo Luis Ferri
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
Information theory, Semiclassical information, Fisher measures, Phase
space, Quantum distributions.
Departamento de Fisica, Universidad Catolica del Norte, Av. Angamos 0610, Antofagasta, Chile