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Nonlinearity and Chaos in Molecular Vibrations (Hardcover)
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Nonlinearity and Chaos in Molecular Vibrations (Hardcover)
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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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