Novel method for directnumerical solution of scattering equations

提出了求解数十万通道耦合过程散射方程的新方法。将散射微分方程作为边界条件问题求解的传统方法是无法求解这些过程的。该方法将薛定谔方程转化为随时间变化的积分方程，并采用网格表示上的直接积分法作为因果关系对应的初值条件问题求解。在研究过程中，该方法不仅适用于散射，还适用于广泛的物理过程，并成功地应用于短脉冲强激光场中原子和分子的动力学。

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.