FISHER INFORMATION AND SEMICLASSICAL TREATMENTS

Fisher Information and Semiclassical Treatments

Fisher Information and Semiclassical Treatments

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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 #Youth Barrel Saddle 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 Mid Rise Relaxed Short states, is connected to this Fisher measure as well.

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