This book focuses on the main idea that highly-excited molecular
vibration is a nonlinear, many-body and semiclassical system.
Therefore, many ideas and techniques in nonlinear fields such as
chaos, resonance, Lyapunov exponent, etc. can be incorporated into
this study. Together with the Lie algebraic coset algorithm,
readers are able to approach the topics in a simple arithmetic and
realistic way in contrast to the traditional solving of
Schroedinger equation.Covering the author's research in over two
decades, these works bridge the gaps between molecular vibration
and nonlinear sciences, many new characters are introduced for
molecular highly-excited vibration from a fresh viewpoint of
nonlinearity, especially, the chaos. Related works of the
elementary ideas in this field can be found in the first three
chapters for the readers to be familiar with, while the rest of the
chapters offer concrete examples with flourishing ideas and results
on system dynamics which are not known or neglected by the
traditional wave function algorithm.
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