Nonlinearity and Chaos in Molecular Vibrations by Guozhen Wu

Nonlinearity and Chaos in Molecular Vibrations by Guozhen Wu

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Summary

Deals with a Lie algebraic approach to the study of nonlinear properties of molecular highly excited vibrations. This work presents 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.

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Nonlinearity and Chaos in Molecular Vibrations by Guozhen Wu

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.
SKU Unavailable
ISBN 13 9780444519061
ISBN 10 0444519068
Title Nonlinearity and Chaos in Molecular Vibrations
Author Guozhen Wu
Condition Unavailable
Binding Type Hardback
Publisher Elsevier Science
Year published 2005-07-01
Number of pages 318
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable