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The relation between dynamics of quantum entanglement and dynamics of molecular vibrations is explored by the Lie-algebraic approach. The analytical expression of reduceddensity matrices is obtained by using the algebraic model. The linear entropy, von Neumann entropy and the Lyapunov function are employed to measure the quantum entanglement for various initial states, respectively. The mean values of entropy and the Lyapunov function are also discussed. Subject Index: 061

Lie Algebraic Approach to Dynamical Entanglement of Vibrations in Triatomic Molecules