离心突然近似下原子碰撞分子振转激发的含时波包公式

TIME-DEPENDENT WAVE PACKET FORMALISM FOR ATOM-MOLECULE COLLISION IN CENTRIFUGAL SUDDEN APPROXIMATION

把离心突然近似应用于原子碰撞分子的振转激发过程,从而大大减少了耦合微分方程组的空间维数,通过使用含时波包方法,将求解耦合微分方程组问题化成求解入射初值问题,对单个初始波包的一次计算即可获得一个能量范围内的态-态跃迁几率.

By applying the centrifugal sudden approximation to atom-molecule collision procedure,the numbers of coupling-differentiation equation are largly decreased,and by using the time-dependent wave packet approch,the problem for solving a set of coupling-differentiation equations is changed into solving incident-initial value problem. This enables us to obtain state-to-state transition probabilities over a wide range of energies only by one calculation for the initial wave packet.