Scarring by homoclinic and heteroclinic orbits

In addition to the well-known scarring effect of periodic orbits, we show here that homoclinic and heteroclinic orbits, which are cornerstones in the theory of classical chaos, also scar eigenfunctions of classically chaotic systems when associated closed circuits in phase space are properly quantiz...

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Autores principales: Wisniacki, Diego A., Vergini, Eduardo Germán
Publicado: 2006
Materias:
Chaos theory
Computational methods
Correlation methods
Eigenvalues and eigenfunctions
Quantum theory
Chaotic systems
Heteroclinic orbits
Phase space
Quantum correlations
Atomic physics
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v97_n9_p_Wisniacki
http://hdl.handle.net/20.500.12110/paper_00319007_v97_n9_p_Wisniacki
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_00319007_v97_n9_p_Wisniacki2023-06-08T14:58:45Z Scarring by homoclinic and heteroclinic orbits Wisniacki, Diego A. Vergini, Eduardo Germán Chaos theory Computational methods Correlation methods Eigenvalues and eigenfunctions Quantum theory Chaotic systems Heteroclinic orbits Phase space Quantum correlations Atomic physics In addition to the well-known scarring effect of periodic orbits, we show here that homoclinic and heteroclinic orbits, which are cornerstones in the theory of classical chaos, also scar eigenfunctions of classically chaotic systems when associated closed circuits in phase space are properly quantized, thus introducing strong quantum correlations. The corresponding quantization rules are also established. This opens the door for developing computationally tractable methods to calculate eigenstates of chaotic systems. © 2006 The American Physical Society. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Vergini, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v97_n9_p_Wisniacki http://hdl.handle.net/20.500.12110/paper_00319007_v97_n9_p_Wisniacki
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Chaos theory
Computational methods
Correlation methods
Eigenvalues and eigenfunctions
Quantum theory
Chaotic systems
Heteroclinic orbits
Phase space
Quantum correlations
Atomic physics
spellingShingle Chaos theory
Computational methods
Correlation methods
Eigenvalues and eigenfunctions
Quantum theory
Chaotic systems
Heteroclinic orbits
Phase space
Quantum correlations
Atomic physics
Wisniacki, Diego A.
Vergini, Eduardo Germán
Scarring by homoclinic and heteroclinic orbits
topic_facet Chaos theory
Computational methods
Correlation methods
Eigenvalues and eigenfunctions
Quantum theory
Chaotic systems
Heteroclinic orbits
Phase space
Quantum correlations
Atomic physics
description In addition to the well-known scarring effect of periodic orbits, we show here that homoclinic and heteroclinic orbits, which are cornerstones in the theory of classical chaos, also scar eigenfunctions of classically chaotic systems when associated closed circuits in phase space are properly quantized, thus introducing strong quantum correlations. The corresponding quantization rules are also established. This opens the door for developing computationally tractable methods to calculate eigenstates of chaotic systems. © 2006 The American Physical Society.
author Wisniacki, Diego A.
Vergini, Eduardo Germán
author_facet Wisniacki, Diego A.
Vergini, Eduardo Germán
author_sort Wisniacki, Diego A.
title Scarring by homoclinic and heteroclinic orbits
title_short Scarring by homoclinic and heteroclinic orbits
title_full Scarring by homoclinic and heteroclinic orbits
title_fullStr Scarring by homoclinic and heteroclinic orbits
title_full_unstemmed Scarring by homoclinic and heteroclinic orbits
title_sort scarring by homoclinic and heteroclinic orbits
publishDate 2006
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v97_n9_p_Wisniacki
http://hdl.handle.net/20.500.12110/paper_00319007_v97_n9_p_Wisniacki
work_keys_str_mv AT wisniackidiegoa scarringbyhomoclinicandheteroclinicorbits
AT verginieduardogerman scarringbyhomoclinicandheteroclinicorbits
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