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

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...

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Autores principales: Pennini, Flavia, Plastino, Ángel Luis, Ferri, Gustavo Luís
Formato: Articulo
Lenguaje:Inglés
Publicado: 2006
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/130800
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Sumario: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 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.