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Studying one of the problems of wave filtration M. Bubenchikov, E. Mishcharina, E. Libin

By: Bubenchikov, Mikhail AContributor(s): Mishcharina, Elena | Libin, Eduard EMaterial type: ArticleArticleSubject(s): Шредингера нестационарное уравнение | проницаемость | нанопористые мембраны | теплопроводность | компьютерное моделированиеGenre/Form: статьи в журналах Online resources: Click here to access online In: MATEC Web of conferences Vol. 72. P. 01019 (1-5)Abstract: Motions of particles through a permeable barrier are studied from the standpoint of Schrodinger wave dynamics. We consider time evolution of a substance concentration spot in the vicinity of one or two potential barriers. To solve the problem we developed a computer technology for integration of the non-stationary Schrödinger equation. The technology is based on symbol mapping and the matrix exponential method which was applied earlier to solve the classical heat equation. The developed theory is relevant to development of nanotechnology, in particular, to studies on permeability of nanoporous membranes.
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Motions of particles through a permeable barrier are studied from the standpoint of Schrodinger wave dynamics. We consider time evolution of a substance concentration spot in the vicinity of one or two potential barriers. To solve the problem we developed a computer technology for integration of the non-stationary Schrödinger equation. The technology is based on symbol mapping and the matrix exponential method which was applied earlier to solve the classical heat equation. The developed theory is relevant to development of nanotechnology, in particular, to studies on permeability of nanoporous membranes.

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