Novel method for directnumerical solution of scattering equations

提出了一种求解数十万通道耦合过程散射方程的新方法。传统的方法是将散射微分方程作为边界条件问题来求解，这是无法解决的。在我们的方法中，薛定谔方程转换为一个时间相关的积分方程，它是解决作为一个初始条件的问题，对应的因果关系，使用直接积分方法的网格表示。在研究过程中，该方法不仅适用于散射过程，而且适用于更广泛的物理过程，并成功地应用于短脉冲强激光场中原子和分子的动力学研究。

Novel method was developed for solving scattering equations of the processes in which hundreds of thousand channels are coupled. Those processes can never be solved by the traditional method in which scattering differential equations are solved as a boundary-condition problem. In our method the Schroedinger equations is converted to a time-dependent integral equation and it is solved as an initial-condition problem corresponding to the causality using the direct integration method on the grid representation. On the way of the research, the procedure turned out to be applicable to wide physical processes other than the scatterings and it was successfully applied to the dynamics of atoms and molecules in short-pulse strong laser fields.