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Mathematical Models and Computer Simulations

Erschienen in:

01.08.2023

On the Statistical Generator of Solutions to the Schrödinger Equation

verfasst von: K. E. Plokhotnikov

Erschienen in: Mathematical Models and Computer Simulations | Ausgabe 4/2023

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Abstract

The article describes the procedure for generating solutions to the Schrödinger equation by the Monte Carlo method. Hexamer 6(H₂O), dodecamer 12(H₂O), and tetradecamer 14(H₂O) water clusters act as a demonstration quantum system illustrating this generator. The generator of solutions to the Schrödinger 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 the spatial convergence of the scattering centers of the particles’ 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 the scattering clouds of the particles’ nuclei and electrons at the same dissociation energy of a quantum system.

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Titel: On the Statistical Generator of Solutions to the Schrödinger Equation
verfasst von: K. E. Plokhotnikov
Publikationsdatum: 01.08.2023
Verlag: Pleiades Publishing
Erschienen in: Mathematical Models and Computer Simulations / Ausgabe 4/2023
Print ISSN: 2070-0482
Elektronische ISSN: 2070-0490
DOI: https://doi.org/10.1134/S2070048223040129

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