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Abstract:

In a previous paper we have given a general framework for addressing the definition of quantum chaos by identifying the conditions that a quantum system must satisfy to lead to non-integrability in its classical limit. In this paper we will generalize those results, with the purpose of defining the two lower levels of the quantum ergodic hierarchy: ergodicity and mixing. We will also argue for the physical relevance of this approach by considering a particular example where our formalism has been successfully applied. © 2008 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Towards a definition of the quantum ergodic hierarchy: Ergodicity and mixing
Autor:Castagnino, M.; Lombardi, O.
Filiación:CONICET, Universidad de Buenos Aires, Argentina
Instituto de Astronomía y Física del Espacio (IAFE), Argentina
Instituto de Física de Rosario (IFIR), Argentina
Palabras clave:Decoherence; Quantum chaos; Quantum ergodicity; Quantum mixing; Quantum electronics; Quantum optics; Classical limits; Decoherence; Ergodic; Ergodicity; General frameworks; Integrability; Quantum chaos; Quantum ergodicity; Quantum mixing; Quantum systems; Quantum theory
Año:2009
Volumen:388
Número:4
Página de inicio:247
Página de fin:267
DOI: http://dx.doi.org/10.1016/j.physa.2008.10.019
Título revista:Physica A: Statistical Mechanics and its Applications
Título revista abreviado:Phys A Stat Mech Appl
ISSN:03784371
CODEN:PHYAD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v388_n4_p247_Castagnino

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Citas:

---------- APA ----------
Castagnino, M. & Lombardi, O. (2009) . Towards a definition of the quantum ergodic hierarchy: Ergodicity and mixing. Physica A: Statistical Mechanics and its Applications, 388(4), 247-267.
http://dx.doi.org/10.1016/j.physa.2008.10.019
---------- CHICAGO ----------
Castagnino, M., Lombardi, O. "Towards a definition of the quantum ergodic hierarchy: Ergodicity and mixing" . Physica A: Statistical Mechanics and its Applications 388, no. 4 (2009) : 247-267.
http://dx.doi.org/10.1016/j.physa.2008.10.019
---------- MLA ----------
Castagnino, M., Lombardi, O. "Towards a definition of the quantum ergodic hierarchy: Ergodicity and mixing" . Physica A: Statistical Mechanics and its Applications, vol. 388, no. 4, 2009, pp. 247-267.
http://dx.doi.org/10.1016/j.physa.2008.10.019
---------- VANCOUVER ----------
Castagnino, M., Lombardi, O. Towards a definition of the quantum ergodic hierarchy: Ergodicity and mixing. Phys A Stat Mech Appl. 2009;388(4):247-267.
http://dx.doi.org/10.1016/j.physa.2008.10.019