Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Classical invariants and the quantization of chaotic systems |
Autor: | Wisniacki, D.A.; Vergini, E.; Benito, R.M.; Borondo, F. |
Filiación: | Departamento de Química C-IX, Universidad Autónoma de Madrid, Cantoblanco, Madrid, 28049, Spain Departamento de Física “J. J. Giambiagi”, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina Departamento de Física, Comisión Nacional de Energía Atómica, AV. del Libertador 8250, Buenos Aires, 1429, Argentina Departamento de Física, E. T. S. I. Agrónomos, Universidad Politécnica de Madrid, Madrid, 28040, Spain
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Año: | 2004
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Volumen: | 70
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Número: | 3
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Página de inicio: | 4
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DOI: |
http://dx.doi.org/10.1103/PhysRevE.70.035202 |
Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
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Título revista abreviado: | Phys Rev E.
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ISSN: | 1063651X
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v70_n3_p4_Wisniacki |
Referencias:
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Citas:
---------- APA ----------
Wisniacki, D.A., Vergini, E., Benito, R.M. & Borondo, F.
(2004)
. Classical invariants and the quantization of chaotic systems. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 70(3), 4.
http://dx.doi.org/10.1103/PhysRevE.70.035202---------- CHICAGO ----------
Wisniacki, D.A., Vergini, E., Benito, R.M., Borondo, F.
"Classical invariants and the quantization of chaotic systems"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 70, no. 3
(2004) : 4.
http://dx.doi.org/10.1103/PhysRevE.70.035202---------- MLA ----------
Wisniacki, D.A., Vergini, E., Benito, R.M., Borondo, F.
"Classical invariants and the quantization of chaotic systems"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 70, no. 3, 2004, pp. 4.
http://dx.doi.org/10.1103/PhysRevE.70.035202---------- VANCOUVER ----------
Wisniacki, D.A., Vergini, E., Benito, R.M., Borondo, F. Classical invariants and the quantization of chaotic systems. Phys Rev E. 2004;70(3):4.
http://dx.doi.org/10.1103/PhysRevE.70.035202