超对称Morse势的时间演化：NO分子的离解
Time evolution in the Morse potential using supersymmetry: dissociation of the NO molecule
摘要：
本文提出了一种处理受激光场扰动的Morse势中分子振动的代数方法。借助于一个完备的、可归一化的基，我们将薛定谔方程转化为一个耦合的常微分方程组。我们应用我们的方法计算了啁啾激光脉冲激发下NO分子的离解几率。用量子化学方法确定了分子的跃迁偶极矩与原子间距的关系，并给出了相应的跃迁偶极矩的近似解析表达式。这些原来是非常小的振动量子数$m=42$周围的相邻的定态之间，因此，我们建议使用额外的脉冲，以跳过这个捕获状态，并获得合理的解离概率。
英文摘要：
We present an algebraic method for treating molecular vibrations in the Morse potential perturbed by an external laser field. By the help of a complete and normalizable basis we transform the Schrödinger equation into a system of coupled ordinary differential equations. We apply our method to calculate the dissociation probability of the NO molecule excited by chirped laser pulses. The dependence of the molecular dipole-moment on the interatomic separation is determined by a quantum-chemical method, and the corresponding transition dipole moments are given by approximate analytic expressions. These turn out to be very small between neighboring stationary states around the vibrational quantum number $m=42$, therefore we propose to use additional pulses in order to skip this trapping state, and to obtain a reasonable dissociation probability.
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