The article describes the procedure for generating solutions to the Schrodinger equation by statistical testing or the Monte Carlo method. As a demonstration quantum system illustrating this generator, clusters of water: hexamer 6(H2O), dodecamer 12(H2O) and tetradecamer 14(H2O). The generator of solutions to the Schrodinger equations is derived from the algorithm proposed by the author earlier, based on the intersection of the finite-difference and Monte Carlo approaches, as well as methods of spatial reduction of scattering centers of particle nuclei and scattering centers of electrons of an arbitrary quantum system, tested on water clusters. As a result of this information, it turned out to be possible to construct an algorithm for generating an unlimited number of different spatial structures of scattering clouds of particle nuclei and electrons at the same dissociation energy of a quantum system.

Schrodinger equation solution generator, numerical methods, ordinary differential equations, Monte Carlo method, average positions of quantum system particles, water cluster

Mathematical modelling in actual problems of science and technics

Plokhotnikov Konstantin Eduardovich,  ,  orcid.org/0000-0002-4660-3777,  Lomonosov Moscow State University; Financial University under the Government of the Russian Federation