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dc.contributor.author
Gomez, Ignacio Sebastián  
dc.contributor.author
Castagnino, Mario Alberto G. J.  
dc.date.available
2016-09-06T20:24:12Z  
dc.date.issued
2014-01  
dc.identifier.citation
Gomez, Ignacio Sebastián; Castagnino, Mario Alberto G. J.; Towards a definition of the Quantum Ergodic Hierarchy: Kolmogorov and Bernoulli systems; Elsevier; Physica A: Statistical Mechanics And Its Applications; 393; 1-2014; 112-131  
dc.identifier.issn
0378-4371  
dc.identifier.uri
http://hdl.handle.net/11336/7503  
dc.description.abstract
In this paper we translate the two higher levels of the Ergodic Hierarchy [1], the Kolmogorov level and the Bernoulli level, to quantum language. Moreover, this paper can be considered as the second part of [2]. As in paper [2], we consider the formalism where the states are positive functionals on the algebra of observables and we use the properties of the Wigner transform [3]. We illustrate the physical relevance of the Quantum Ergodic Hierarchy with two emblematic examples of the literature: the Casati-Prosen model [4], [5] and the kicked rotator [6], [7], [8].  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
Ergodic  
dc.subject
Mixing  
dc.subject
Kolmogorov  
dc.subject
Bernoulli  
dc.subject.classification
Física de los Materiales Condensados  
dc.subject.classification
Ciencias Físicas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Towards a definition of the Quantum Ergodic Hierarchy: Kolmogorov and Bernoulli systems  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2016-05-27T20:16:08Z  
dc.journal.volume
393  
dc.journal.pagination
112-131  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Gomez, Ignacio Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Instituto de Física de Rosario (i); Argentina  
dc.description.fil
Fil: Castagnino, Mario Alberto G. J.. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio(i); Argentina  
dc.journal.title
Physica A: Statistical Mechanics And Its Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437113008200  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.physa.2013.08.070