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Matematicheskoe modelirovanie, 2019, Volume 31, Number 8, Pages 61–78
DOI: https://doi.org/10.1134/S0234087919080045
(Mi mm4103)
 

This article is cited in 12 scientific papers (total in 12 papers)

About one method of numerical solution Schrodinger equation

K. E. Plokhotnikov

Lomonosov Moscow State University, Faculty of Physics
References:
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
English version:
Mathematical Models and Computer Simulations, 2020, Volume 12, Issue 2, Pages 221–231
DOI: https://doi.org/10.1134/S2070048220020106
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. E. Plokhotnikov, “About one method of numerical solution Schrodinger equation”, Matem. Mod., 31:8 (2019), 61–78; Math. Models Comput. Simul., 12:2 (2020), 221–231
Citation in format AMSBIB
\Bibitem{Plo19}
\by K.~E.~Plokhotnikov
\paper About one method of numerical solution Schrodinger equation
\jour Matem. Mod.
\yr 2019
\vol 31
\issue 8
\pages 61--78
\mathnet{http://mi.mathnet.ru/mm4103}
\crossref{https://doi.org/10.1134/S0234087919080045}
\elib{https://elibrary.ru/item.asp?id=38487770}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 2
\pages 221--231
\crossref{https://doi.org/10.1134/S2070048220020106}
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  • https://www.mathnet.ru/eng/mm4103
  • https://www.mathnet.ru/eng/mm/v31/i8/p61
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:445
    Full-text PDF :246
    References:49
    First page:27
     
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