Generalized entropies in quantum and classical statistical theories

We study a version of the generalized ( h , ϕ )-entropies, introduced by Salicrú et al. [M. Salicrú et al., Commun. Stat. Theory Method. 22 , 2015 (1993)], for a wide family of probabilistic models that includes quantum and classical statistical theories as particular cases. We extend previous works...

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Veröffentlicht in:	The European physical journal. ST, Special topics Special topics, 2018-09, Vol.227 (3-4), p.335-344
Hauptverfasser:	Portesi, M., Holik, F., Lamberti, P. W., Bosyk, G. M., Bellomo, G., Zozor, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Atomic Classical and Continuum Physics Computer Science Condensed Matter Physics Dynamics and Applications Information Theory Materials Science Mathematical Physics Measurement Science and Instrumentation Molecular Optical and Plasma Physics Physics Physics and Astronomy Probabilistic models Quantum Physics Quantum Systems In and Out of Equilibrium - Fundamentals Regular Article Statistical analysis
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Zusammenfassung:	We study a version of the generalized ( h , ϕ )-entropies, introduced by Salicrú et al. [M. Salicrú et al., Commun. Stat. Theory Method. 22 , 2015 (1993)], for a wide family of probabilistic models that includes quantum and classical statistical theories as particular cases. We extend previous works by exploring how to define ( h , ϕ )-entropies in infinite dimensional models.
ISSN:	1951-6355 1951-6401
DOI:	10.1140/epjst/e2018-00108-1