Classical invariants and the quantization of chaotic systems

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Due to their exponential proliferation, long periodic orbits constitute a serious drawback in Gutzwiller’s theory of chaotic systems. Therefore, it would be desirable that other classical invariants, not suffering from the same problem, could be used in alternative semiclassical quantization schemes...

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Autores principales: Wisniacki, D.A., Vergini, E., Benito, R.M., Borondo, F.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1063651X_v70_n3_p4_Wisniacki
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_1063651X_v70_n3_p4_Wisniacki2023-10-03T16:01:51Z Classical invariants and the quantization of chaotic systems Wisniacki, D.A. Vergini, E. Benito, R.M. Borondo, F. Due to their exponential proliferation, long periodic orbits constitute a serious drawback in Gutzwiller’s theory of chaotic systems. Therefore, it would be desirable that other classical invariants, not suffering from the same problem, could be used in alternative semiclassical quantization schemes. In this Rapid Communication, we demonstrate how a suitable dynamical analysis of chaotic quantum spectra unveils the role played, in this respect, by classical invariant areas related to the stable and unstable manifolds of short periodic orbits. © 2004 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1063651X_v70_n3_p4_Wisniacki
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Due to their exponential proliferation, long periodic orbits constitute a serious drawback in Gutzwiller’s theory of chaotic systems. Therefore, it would be desirable that other classical invariants, not suffering from the same problem, could be used in alternative semiclassical quantization schemes. In this Rapid Communication, we demonstrate how a suitable dynamical analysis of chaotic quantum spectra unveils the role played, in this respect, by classical invariant areas related to the stable and unstable manifolds of short periodic orbits. © 2004 The American Physical Society.
format JOUR
author Wisniacki, D.A.
Vergini, E.
Benito, R.M.
Borondo, F.
spellingShingle Wisniacki, D.A.
Vergini, E.
Benito, R.M.
Borondo, F.
Classical invariants and the quantization of chaotic systems
author_facet Wisniacki, D.A.
Vergini, E.
Benito, R.M.
Borondo, F.
author_sort Wisniacki, D.A.
title Classical invariants and the quantization of chaotic systems
title_short Classical invariants and the quantization of chaotic systems
title_full Classical invariants and the quantization of chaotic systems
title_fullStr Classical invariants and the quantization of chaotic systems
title_full_unstemmed Classical invariants and the quantization of chaotic systems
title_sort classical invariants and the quantization of chaotic systems
url http://hdl.handle.net/20.500.12110/paper_1063651X_v70_n3_p4_Wisniacki
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AT benitorm classicalinvariantsandthequantizationofchaoticsystems
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