Lie algebraic approach to the collinear collisions between two diatomic molecules

We present the quantum mechanical studies on the vibrational energy transfer in the inelastic collinear collision between two diatomic molecules using a dynamic Lie algebraic method of Alhassid and Levine [Phys. Rev. A 18 , 89 (1978)] within the semiclassical approximations. A dynamical algebra h₁₅ is formed and used for calculating the transition probabilities and the expectation values of the interaction potential. Under the first-order approximation of the group parameters, the selection rules for the transitions among the vibrational levels have been obtained. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65 : 159–165, 1997