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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2019 Volume 31, Number 8, Pages 61–78 (Mi mm4103)

This article is cited in 10 papers

About one method of numerical solution Schrodinger equation

K. E. Plokhotnikov

Lomonosov Moscow State University, Faculty of Physics

Abstract: The paper considers the method of numerical solution of the Schrodinger equation, which, in part, can be attributed to the class of Monte Carlo methods. The method is presented and simultaneously illustrated by the examples of solving the one-dimensional and multidimensional Schrodinger equation in the problems of linear one-dimensional oscillator, hydrogen atom and benzene.

Keywords: Schrodinger equation, numerical methods, Monte-Carlo method.

Received: 17.01.2019
Revised: 25.03.2019
Accepted: 08.04.2019

DOI: 10.1134/S0234087919080045


 English version:
Mathematical Models and Computer Simulations, 2020, 12:2, 221–231

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© Steklov Math. Inst. of RAS, 2026