On the Statistical Generator of Solutions to the Schrodinger Equation

Abstract

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.