In this paper, we solve a diffusion problem in the presence of two absorbing boundaries in the time-domain. This model is well-known as Oster–Nishijima’s model of electronic relaxation. The relaxation dynamics of the initially excited electronic distribution are studied, and the form of the distribution function is assumed to be Gaussian. The results are calculated for a flat-excited state potential, which is an exact consideration near the equilibrium configuration of the molecules. The analytic results of survival probability are presented graphically. For a case with more than one finite boundary, a time-domain solution has been obtained for the first time, and the parametric limitations to the presented method are discussed.

在本文中，我们解决了时域中存在两个吸收边界的扩散问题。该模型被称为Oster–Nishijima的电子弛豫模型。研究了初始激发电子分布的弛豫动力学，并假设分布函数的形式为高斯分布。计算出平激发态势的结果，这是在分子的平衡构型附近的精确考虑。生存概率的分析结果以图形方式呈现。对于具有多个有限边界的情况，首次获得了时域解，并讨论了所提出方法的参数限制。