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An application of the dynamical Lie algebraic method to energy transfer of the collinear scattering system AB+CD

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Abstract

The dynamical Lie algebraic method has been applied to treat the V–V and T–V energy transfers in the collinear scattering system AB+CD. The expression for the vibrational transition probability, which contains the main dynamical parameters, is given analytically. By using this expression we probe into the V–V resonance and T–V resonance phenomena appearing in the process of energy transfer. We find that the transition probability of V–V resonance is in good agreement with that obtained using the resonant exchange hypothesis. Then the reliability of the resonant exchange hypothesis is confirmed.

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Authors and Affiliations

  1. Institute of Theoretical Chemistry, Shandong University, Jinan, 250100, P.R. China

    Shiliang Ding, Xizhang Yi, Daren Guan & Benhui Yang

  2. National Key Laboratory of Theoretical and Computational Chemistry, Jilin University, Changchun, 130023, P.R. China

    Jiazhong Sun

Authors
  1. Shiliang Ding
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  2. Xizhang Yi
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  3. Daren Guan
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  4. Benhui Yang
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  5. Jiazhong Sun
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Ding, S., Yi, X., Guan, D. et al. An application of the dynamical Lie algebraic method to energy transfer of the collinear scattering system AB+CD. Journal of Mathematical Chemistry 26, 221–232 (1999). https://doi.org/10.1023/A:1019146230655

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  • DOI: https://doi.org/10.1023/A:1019146230655

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