Geodesic
About calculation of unperturbative amplitude for the scattering of the quantum particle on a~complicated object
Matematičeskoe modelirovanie, Tome 22 (2010) no. 2, pp. 83-92

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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 $N$. 
@article{MM_2010_22_2_a5,
     author = {E. A. Vedutenko and S. V. Talalov},
     title = {About calculation of unperturbative amplitude for the scattering of the quantum particle on a~complicated object},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {83--92},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_2_a5/}
}
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E. A. Vedutenko; S. V. Talalov. About calculation of unperturbative amplitude for the scattering of the quantum particle on a~complicated object. Matematičeskoe modelirovanie, Tome 22 (2010) no. 2, pp. 83-92. http://geodesic.mathdoc.fr/item/MM_2010_22_2_a5/