In concepts and Recents Advances in Generalized Information Measures

FLAVIA PENNINI; A. PLASTINO; G.L. FERRI

Bentham Science Publishers

Lugar: Sharjah; Año: 2011 p. 27

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.