About calculation of unperturbative amplitude for the scattering of the quantum particle on a complicated object

We suggest a model which allows to realize a simple algorithm of numerical solution of quantum scattering problem for the neutral non-relativistic particle. The particle interacts with some quality $N\simeq10^5\div10^7$ centers which are disodered. The interval selected for number $N$ is some neighbourhood for the boundary of applying of the iterative methods for suggested scheme. The model leads to the linear algebraic system with a dimension which is 2–4 order lower than number $N$.