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Solving the Schrodinger Equation on the Basis of Finite-Difference and Monte-Carlo Approachesстатья
- Автор: Plokhotnikov K.E.
- Журнал: Journal of Applied Mathematics and Physics
- Том: 9
- Номер: 2
- Год издания: 2021
- Издательство: Scientific Research Publishing
- Местоположение издательства: United States
- Первая страница: 328
- Последняя страница: 369
- DOI: 10.4236/jamp.2021.92024
- Аннотация: The paper presents a method of numerical solution of the Schrodinger equation, which combines the finite-difference and Monte-Carlo approaches. The resulting method was effective and economical and, to a certain extent, not improved, i.e. optimal. The method itself is formalized as an algorithm for the numerical solution of the Schrodinger equation for a molecule with an arbitrary number of quantum particles. The method is presented and simultaneously illustrated by examples of solving the one-dimensional and multidimensional Schrodinger equation in such problems: linear one-dimensional oscillator, hydrogen atom, ion and hydrogen molecule, water, benzene and metallic hydrogen.
- Добавил в систему: Плохотников Константин Эдуардович