About the concept of quantum chaos

The research on quantum chaos finds its roots in the study of the spectrum of complex nuclei in the 1950s and the pioneering experiments in microwave billiards in the 1970s. Since then, a large number of new results was produced. Nevertheless, the work on the subject is, even at present, a superposi...

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Detalles Bibliográficos
Autores principales: Gómez, Ignacio Sebastián, Losada, Marcelo, Lombardi, Olimpia
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Física
Classical limit
Ergodic hierarchy
Quantum chaos
Quantum ergodic hierarchy
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/87752
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-87752
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Classical limit
Ergodic hierarchy
Quantum chaos
Quantum ergodic hierarchy
spellingShingle Física
Classical limit
Ergodic hierarchy
Quantum chaos
Quantum ergodic hierarchy
Gómez, Ignacio Sebastián
Losada, Marcelo
Lombardi, Olimpia
About the concept of quantum chaos
topic_facet Física
Classical limit
Ergodic hierarchy
Quantum chaos
Quantum ergodic hierarchy
description The research on quantum chaos finds its roots in the study of the spectrum of complex nuclei in the 1950s and the pioneering experiments in microwave billiards in the 1970s. Since then, a large number of new results was produced. Nevertheless, the work on the subject is, even at present, a superposition of several approaches expressed in different mathematical formalisms and weakly linked to each other. The purpose of this paper is to supply a unified framework for describing quantum chaos using the quantum ergodic hierarchy. Using the factorization property of this framework, we characterize the dynamical aspects of quantum chaos by obtaining the Ehrenfest time. We also outline a generalization of the quantum mixing level of the kicked rotator in the context of the impulsive differential equations.
format Articulo
Articulo
author Gómez, Ignacio Sebastián
Losada, Marcelo
Lombardi, Olimpia
author_facet Gómez, Ignacio Sebastián
Losada, Marcelo
Lombardi, Olimpia
author_sort Gómez, Ignacio Sebastián
title About the concept of quantum chaos
title_short About the concept of quantum chaos
title_full About the concept of quantum chaos
title_fullStr About the concept of quantum chaos
title_full_unstemmed About the concept of quantum chaos
title_sort about the concept of quantum chaos
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/87752
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