Nonlinearity and chaos in molecular vibrations:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Amsterdam
Elsevier
2005
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Ausgabe: | 1st ed |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Includes bibliographical references and index Nonlinearity and Chaos in Molecular Vibrations deals systematically with a Lie algebraic approach to the study of nonlinear properties of molecular highly excited vibrations. The fundamental concepts of nonlinear dynamics such as chaos, fractals, quasiperiodicity, resonance, and the Lyapunov exponent, and their roles in the study of molecular vibrations are presented. The 20 chapters cover the basic ideas, the concept of dynamical groups, the integrable two-mode SU(2) system, the unintegrable three-mode SU(3) system, the noncompact su(1,1) algebraic application, su(3) symmetry breaking and its application and the quantal effect of asymmetric molecular rotation. Emphasis is given to: resonance and chaos, the fractal structure of eigencoefficients, the C-H bend motion of acetylene, regular and chaotic motion of DCN, the existence of approximately conserved quantum numbers, one-electronic motion in multi-sites, the Lyapunov exponent, actions of periodic trajectories and quantization, the H function and its application in vibrational relaxation as well as the Dixon dip and its destruction and chaos in the transitional states. This approach bridges the gap between molecular vibrational spectroscopy and nonlinear dynamics. The book presents a framework of information that readers can use to build their knowledge, and is therefore highly recommended for all those working in or studying molecular physics, molecular spectroscopy, chemical physics and theoretical physics. * Discusses nonlinearity and chaotic phenomena in molecular vibrations * Approaches the complicated highly excited molecular vibration * Provides clear information for students and researchers looking to expand knowledge in this field |
Beschreibung: | 1 Online-Ressource (xiii, 306 p.) |
ISBN: | 9780444519061 0444519068 0080459072 9780080459073 |
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500 | |a Nonlinearity and Chaos in Molecular Vibrations deals systematically with a Lie algebraic approach to the study of nonlinear properties of molecular highly excited vibrations. The fundamental concepts of nonlinear dynamics such as chaos, fractals, quasiperiodicity, resonance, and the Lyapunov exponent, and their roles in the study of molecular vibrations are presented. The 20 chapters cover the basic ideas, the concept of dynamical groups, the integrable two-mode SU(2) system, the unintegrable three-mode SU(3) system, the noncompact su(1,1) algebraic application, su(3) symmetry breaking and its application and the quantal effect of asymmetric molecular rotation. Emphasis is given to: resonance and chaos, the fractal structure of eigencoefficients, the C-H bend motion of acetylene, regular and chaotic motion of DCN, the existence of approximately conserved quantum numbers, one-electronic motion in multi-sites, the Lyapunov exponent, actions of periodic trajectories and quantization, the H function and its application in vibrational relaxation as well as the Dixon dip and its destruction and chaos in the transitional states. This approach bridges the gap between molecular vibrational spectroscopy and nonlinear dynamics. The book presents a framework of information that readers can use to build their knowledge, and is therefore highly recommended for all those working in or studying molecular physics, molecular spectroscopy, chemical physics and theoretical physics. * Discusses nonlinearity and chaotic phenomena in molecular vibrations * Approaches the complicated highly excited molecular vibration * Provides clear information for students and researchers looking to expand knowledge in this field | ||
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Datensatz im Suchindex
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any_adam_object | |
author | Wu, Guozhen |
author_facet | Wu, Guozhen |
author_role | aut |
author_sort | Wu, Guozhen |
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building | Verbundindex |
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dewey-ones | 541 - Physical chemistry |
dewey-raw | 541/.223 |
dewey-search | 541/.223 |
dewey-sort | 3541 3223 |
dewey-tens | 540 - Chemistry and allied sciences |
discipline | Chemie / Pharmazie |
edition | 1st ed |
format | Electronic eBook |
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indexdate | 2024-07-10T01:18:09Z |
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isbn | 9780444519061 0444519068 0080459072 9780080459073 |
language | English |
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physical | 1 Online-Ressource (xiii, 306 p.) |
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spelling | Wu, Guozhen Verfasser aut Nonlinearity and chaos in molecular vibrations Guozhen Wu 1st ed Amsterdam Elsevier 2005 1 Online-Ressource (xiii, 306 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index Nonlinearity and Chaos in Molecular Vibrations deals systematically with a Lie algebraic approach to the study of nonlinear properties of molecular highly excited vibrations. The fundamental concepts of nonlinear dynamics such as chaos, fractals, quasiperiodicity, resonance, and the Lyapunov exponent, and their roles in the study of molecular vibrations are presented. The 20 chapters cover the basic ideas, the concept of dynamical groups, the integrable two-mode SU(2) system, the unintegrable three-mode SU(3) system, the noncompact su(1,1) algebraic application, su(3) symmetry breaking and its application and the quantal effect of asymmetric molecular rotation. Emphasis is given to: resonance and chaos, the fractal structure of eigencoefficients, the C-H bend motion of acetylene, regular and chaotic motion of DCN, the existence of approximately conserved quantum numbers, one-electronic motion in multi-sites, the Lyapunov exponent, actions of periodic trajectories and quantization, the H function and its application in vibrational relaxation as well as the Dixon dip and its destruction and chaos in the transitional states. This approach bridges the gap between molecular vibrational spectroscopy and nonlinear dynamics. The book presents a framework of information that readers can use to build their knowledge, and is therefore highly recommended for all those working in or studying molecular physics, molecular spectroscopy, chemical physics and theoretical physics. * Discusses nonlinearity and chaotic phenomena in molecular vibrations * Approaches the complicated highly excited molecular vibration * Provides clear information for students and researchers looking to expand knowledge in this field Rotation moléculaire Théories non linéaires Chaos SCIENCE / Chemistry / Physical & Theoretical bisacsh Chaotic behavior in systems fast Molecular rotation fast Nonlinear theories fast Chemie Molecular rotation Nonlinear theories Chaotic behavior in systems http://www.sciencedirect.com/science/book/9780444519061 Verlag Volltext |
spellingShingle | Wu, Guozhen Nonlinearity and chaos in molecular vibrations Rotation moléculaire Théories non linéaires Chaos SCIENCE / Chemistry / Physical & Theoretical bisacsh Chaotic behavior in systems fast Molecular rotation fast Nonlinear theories fast Chemie Molecular rotation Nonlinear theories Chaotic behavior in systems |
title | Nonlinearity and chaos in molecular vibrations |
title_auth | Nonlinearity and chaos in molecular vibrations |
title_exact_search | Nonlinearity and chaos in molecular vibrations |
title_full | Nonlinearity and chaos in molecular vibrations Guozhen Wu |
title_fullStr | Nonlinearity and chaos in molecular vibrations Guozhen Wu |
title_full_unstemmed | Nonlinearity and chaos in molecular vibrations Guozhen Wu |
title_short | Nonlinearity and chaos in molecular vibrations |
title_sort | nonlinearity and chaos in molecular vibrations |
topic | Rotation moléculaire Théories non linéaires Chaos SCIENCE / Chemistry / Physical & Theoretical bisacsh Chaotic behavior in systems fast Molecular rotation fast Nonlinear theories fast Chemie Molecular rotation Nonlinear theories Chaotic behavior in systems |
topic_facet | Rotation moléculaire Théories non linéaires Chaos SCIENCE / Chemistry / Physical & Theoretical Chaotic behavior in systems Molecular rotation Nonlinear theories Chemie |
url | http://www.sciencedirect.com/science/book/9780444519061 |
work_keys_str_mv | AT wuguozhen nonlinearityandchaosinmolecularvibrations |