Quantum statistical information contained in a semi-classical Fisher--Husimi measure

Details Quantum statistical information contained in a semi-classical Fisher--Husimi measure Quantum statistical information contained in a semi-classical Fisher--Husimi measure

2004-08-03

arxiv.org/abs/cond-mat/0408072v3

Physics Letters A 359 (2006) 14--20

Physics

Condensed Matter

Statistical Mechanics

9 pages, 3 figures; chenged content

Scientific paper

We study here the difference between quantum statistical treatments and semi-classical ones, using as the main research tool a semi-classical, shift-invariant Fisher information measure built up with Husimi distributions. Its semi-classical character notwithstanding, this measure also contains 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.

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