Novel method for directnumerical solution of scattering equations

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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.