Classical analogue of the statistical operator

We advance the notion of a classical density matrix, as a classical analogue of the quantum mechanical statistical operator, and investigate its main properties. In the case of composite systems a partial trace-like operation performed upon the global classical density matrix leads to a marginal den...

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Detalles Bibliográficos
Autores principales:	Plastino, Ángel Luis, Plastino, Ángel Ricardo, Zander, Claudia
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2014
Materias:	Física Liouville dynamics Physics of information Statistical operator
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/85336
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-85336
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Liouville dynamics Physics of information Statistical operator
spellingShingle	Física Liouville dynamics Physics of information Statistical operator Plastino, Ángel Luis Plastino, Ángel Ricardo Zander, Claudia Classical analogue of the statistical operator
topic_facet	Física Liouville dynamics Physics of information Statistical operator
description	We advance the notion of a classical density matrix, as a classical analogue of the quantum mechanical statistical operator, and investigate its main properties. In the case of composite systems a partial trace-like operation performed upon the global classical density matrix leads to a marginal density matrix describing a subsystem. In the case of dynamically independent subsystems (that is, non-interacting subsystems) this marginal density matrix evolves locally, its behavior being completely determined by the local phase-space flow associated with the subsystem under consideration. However, and in contrast with the case of ordinary marginal probability densities, the marginal classical density matrix contains information concerning the statistical correlations between a subsystem and the rest of the system. PACS (2008): 05.90.+m, 89.70.-a, 05.20.Gg
format	Articulo Articulo
author	Plastino, Ángel Luis Plastino, Ángel Ricardo Zander, Claudia
author_facet	Plastino, Ángel Luis Plastino, Ángel Ricardo Zander, Claudia
author_sort	Plastino, Ángel Luis
title	Classical analogue of the statistical operator
title_short	Classical analogue of the statistical operator
title_full	Classical analogue of the statistical operator
title_fullStr	Classical analogue of the statistical operator
title_full_unstemmed	Classical analogue of the statistical operator
title_sort	classical analogue of the statistical operator
publishDate	2014
url	http://sedici.unlp.edu.ar/handle/10915/85336
work_keys_str_mv	AT plastinoangelluis classicalanalogueofthestatisticaloperator AT plastinoangelricardo classicalanalogueofthestatisticaloperator AT zanderclaudia classicalanalogueofthestatisticaloperator
bdutipo_str	Repositorios
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Classical analogue of the statistical operator

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