Nonlinearity and Chaos in Molecular Vibrations deals systematically with a Liealgebraic approach to the study of nonlinear properties of molecular highlyexcited... » 

Nonlinearity and Chaos in Molecular Vibrations deals systematically with a Liealgebraic approach to the study of nonlinear properties of molecular highlyexcited vibrations. The fundamental concepts of nonlinear dynamics such aschaos fractals quasiperiodicity resonance and the Lyapunov exponent andtheir roles in the study of molecular vibrations are presented.The 20 chapters cover the basic ideas the concept of dynamical groups theintegrable twomode SU2 system the unintegrable threemode SU3 system thenoncompact su11 algebraic application su3 symmetry breaking and itsapplication and the quantal effect of asymmetric molecular rotation. Emphasisis given to resonance and chaos the fractal structure of eigencoefficientsthe CH bend motion of acetylene regular and chaotic motion of DCN theexistence of approximately conserved quantum numbers oneelectronic motion inmultisites the Lyapunov exponent actions of periodic trajectories andquantization the H function and its application in vibrational relaxation aswell as the Dixon dip and its destruction and chaos in the transitional states.This approach bridges the gap between molecular vibrational spectroscopy andnonlinear dynamics.The book presents a framework of information that readers can use to buildtheir knowledge and is therefore highly recommended for all those working inor studying molecular physics molecular spectroscopy chemical physics andtheoretical physics. Discusses nonlinearity and chaotic phenomena in molecular vibrations Approaches the complicated highly excited molecular vibration Provides clear information for students and researchers looking toexpandknowledge in this field «