Studying One of the Problems of Wave Filtration
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2016-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/matecconf/20167201019 |
| _version_ | 1829480257515683840 |
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| author | Bubenchikov Michael Mishcharina Elena Libin Eduard |
| author_facet | Bubenchikov Michael Mishcharina Elena Libin Eduard |
| author_sort | Bubenchikov Michael |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-14T21:02:40Z |
| format | Article |
| id | doaj.art-d5c3568d194f471aac45a5439ed445e7 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-14T21:02:40Z |
| publishDate | 2016-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-d5c3568d194f471aac45a5439ed445e72022-12-21T22:47:33ZengEDP SciencesMATEC Web of Conferences2261-236X2016-01-01720101910.1051/matecconf/20167201019matecconf_hmttsc2016_01019Studying One of the Problems of Wave FiltrationBubenchikov MichaelMishcharina Elena0Libin EduardNational Research Tomsk State UniversityMotions 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.http://dx.doi.org/10.1051/matecconf/20167201019 |
| spellingShingle | Bubenchikov Michael Mishcharina Elena Libin Eduard Studying One of the Problems of Wave Filtration MATEC Web of Conferences |
| title | Studying One of the Problems of Wave Filtration |
| title_full | Studying One of the Problems of Wave Filtration |
| title_fullStr | Studying One of the Problems of Wave Filtration |
| title_full_unstemmed | Studying One of the Problems of Wave Filtration |
| title_short | Studying One of the Problems of Wave Filtration |
| title_sort | studying one of the problems of wave filtration |
| url | http://dx.doi.org/10.1051/matecconf/20167201019 |
| work_keys_str_mv | AT bubenchikovmichael studyingoneoftheproblemsofwavefiltration AT mishcharinaelena studyingoneoftheproblemsofwavefiltration AT libineduard studyingoneoftheproblemsofwavefiltration |