Classical invariants and the quantization of chaotic systems

Various aspects concerning the role of short periodic orbitals (PO) in Gutzwiller's summation formula, for the semiclassical quantization of chaotic systems, were investigated. It was suggested that due to their exponential proliferation, long periodic orbits constitute a serious drawback in Gu...

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Detalles Bibliográficos
Autores principales: Wisniacki, Diego A., Vergini, Eduardo Germán
Publicado: 2004
Materias:
Eigenvalues and eigenfunctions
Fourier transforms
Functions
Hamiltonians
Matrix algebra
Nanotechnology
Probability
Quantum theory
Chaotic systems
Dynamical analysis
Gutzwiller's theory
Semiclassical theory of quantum chaos
Chaos theory
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v70_n32_p035202_Wisniacki
http://hdl.handle.net/20.500.12110/paper_15393755_v70_n32_p035202_Wisniacki
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15393755_v70_n32_p035202_Wisniacki
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spelling paper:paper_15393755_v70_n32_p035202_Wisniacki2023-06-08T16:20:25Z Classical invariants and the quantization of chaotic systems Wisniacki, Diego A. Vergini, Eduardo Germán Eigenvalues and eigenfunctions Fourier transforms Functions Hamiltonians Matrix algebra Nanotechnology Probability Quantum theory Chaotic systems Dynamical analysis Gutzwiller's theory Semiclassical theory of quantum chaos Chaos theory Various aspects concerning the role of short periodic orbitals (PO) in Gutzwiller's summation formula, for the semiclassical quantization of chaotic systems, were investigated. It was suggested that due to their exponential proliferation, long periodic orbits constitute a serious drawback in Gutzwiller's theory of chaotic systems. It was found that the short PO, and their associated heteroclinic and homoclinic intersecting areas, are relevant contributions to the spectra. A semiclassical interpretation on the ways to localize structures along PO interact was also provided. 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. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v70_n32_p035202_Wisniacki http://hdl.handle.net/20.500.12110/paper_15393755_v70_n32_p035202_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 Eigenvalues and eigenfunctions
Fourier transforms
Functions
Hamiltonians
Matrix algebra
Nanotechnology
Probability
Quantum theory
Chaotic systems
Dynamical analysis
Gutzwiller's theory
Semiclassical theory of quantum chaos
Chaos theory
spellingShingle Eigenvalues and eigenfunctions
Fourier transforms
Functions
Hamiltonians
Matrix algebra
Nanotechnology
Probability
Quantum theory
Chaotic systems
Dynamical analysis
Gutzwiller's theory
Semiclassical theory of quantum chaos
Chaos theory
Wisniacki, Diego A.
Vergini, Eduardo Germán
Classical invariants and the quantization of chaotic systems
topic_facet Eigenvalues and eigenfunctions
Fourier transforms
Functions
Hamiltonians
Matrix algebra
Nanotechnology
Probability
Quantum theory
Chaotic systems
Dynamical analysis
Gutzwiller's theory
Semiclassical theory of quantum chaos
Chaos theory
description Various aspects concerning the role of short periodic orbitals (PO) in Gutzwiller's summation formula, for the semiclassical quantization of chaotic systems, were investigated. It was suggested that due to their exponential proliferation, long periodic orbits constitute a serious drawback in Gutzwiller's theory of chaotic systems. It was found that the short PO, and their associated heteroclinic and homoclinic intersecting areas, are relevant contributions to the spectra. A semiclassical interpretation on the ways to localize structures along PO interact was also provided.
author Wisniacki, Diego A.
Vergini, Eduardo Germán
author_facet Wisniacki, Diego A.
Vergini, Eduardo Germán
author_sort Wisniacki, Diego 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
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v70_n32_p035202_Wisniacki
http://hdl.handle.net/20.500.12110/paper_15393755_v70_n32_p035202_Wisniacki
work_keys_str_mv AT wisniackidiegoa classicalinvariantsandthequantizationofchaoticsystems
AT verginieduardogerman classicalinvariantsandthequantizationofchaoticsystems
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