Fisher information contains all HO-quantum-statistics already at the semiclassical level

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

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier Science, B. V.

Lugar: Amsterdam; Año: 2006 vol. 359 p. 173 - 176

0378-4371

We study here the difference between quantum statistical treatments and semiclassical ones, using as the main research 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 forWehrl 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.