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在半经典近似下将动力学李代数方法和中间绘景结合应用于原子－双原子分子（非谐振子）共线碰撞中的平动－振动传能的研究．在群参量的一级近似下求解群参量的运动方程，进而确定时间演化算符．并以散射体系Ｈ２＋Ｈｅ为例，计算了Ｈ２分子的振动跃迁几率，计算结果与精确量子力学计算结果符合得较好．
In the semiclassical approximation, the kinematic Lie algebra method and the intermediate scene combination were applied to the translational-vibrational energy transfer in the collisions of atom-diatomic molecules (non-harmonic oscillators). In the first order approximation of the group parameters, the equations of motion of the group parameters are solved, and then the time evolution operator is determined. Taking the scattering system H2 + He as an example, the probability of vibrational transition of H2 molecule is calculated. The calculated result is in good agreement with the exact quantum mechanical calculation.