Geometric attractor of an electron beam passing through a crystal

The Lemmlein algorithm assigns a cyclic interaction of a mathematical point with other (n+1) points of the n - dimensional Euclidean space. In this paper generalization A of the Lemmlein algorithm for an arbitrary number of points m situated in the n - dimensional Riemann space is proposed. Algorith...

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Бібліографічні деталі
Дата:2001
Автор: Gurin, A.M.
Формат: Стаття
Мова:English
Опубліковано: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2001
Назва видання:Вопросы атомной науки и техники
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Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/79473
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Geometric attractor of an electron beam passing through a crystal / A.M. Gurin // Вопросы атомной науки и техники. — 2001. — № 6. — С. 147-148. — Бібліогр.: 8 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-79473
record_format dspace
spelling irk-123456789-794732015-04-03T03:02:18Z Geometric attractor of an electron beam passing through a crystal Gurin, A.M. Electrodynamics of high energies in matter and strong fields The Lemmlein algorithm assigns a cyclic interaction of a mathematical point with other (n+1) points of the n - dimensional Euclidean space. In this paper generalization A of the Lemmlein algorithm for an arbitrary number of points m situated in the n - dimensional Riemann space is proposed. Algorithm A generates a Markovian chain consisting of the finite number of combinatorially different strongly convergent attractors. Algorithm A is generalized to describe the interaction of mass points, e.g., the motion of electrons in the real crystal medium. The strong convergence of the attractors provides stability of the electron trajectories in the vicinity of an attractor in the unit cell of the crystal after electron scattering at the crystal defects. 2001 Article Geometric attractor of an electron beam passing through a crystal / A.M. Gurin // Вопросы атомной науки и техники. — 2001. — № 6. — С. 147-148. — Бібліогр.: 8 назв. — англ. 1562-6016 PACS: 12.20.-m, 13.40.-f, 13.60-Hb, 13.88.+e http://dspace.nbuv.gov.ua/handle/123456789/79473 en Вопросы атомной науки и техники Національний науковий центр «Харківський фізико-технічний інститут» НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Electrodynamics of high energies in matter and strong fields
Electrodynamics of high energies in matter and strong fields
spellingShingle Electrodynamics of high energies in matter and strong fields
Electrodynamics of high energies in matter and strong fields
Gurin, A.M.
Geometric attractor of an electron beam passing through a crystal
Вопросы атомной науки и техники
description The Lemmlein algorithm assigns a cyclic interaction of a mathematical point with other (n+1) points of the n - dimensional Euclidean space. In this paper generalization A of the Lemmlein algorithm for an arbitrary number of points m situated in the n - dimensional Riemann space is proposed. Algorithm A generates a Markovian chain consisting of the finite number of combinatorially different strongly convergent attractors. Algorithm A is generalized to describe the interaction of mass points, e.g., the motion of electrons in the real crystal medium. The strong convergence of the attractors provides stability of the electron trajectories in the vicinity of an attractor in the unit cell of the crystal after electron scattering at the crystal defects.
format Article
author Gurin, A.M.
author_facet Gurin, A.M.
author_sort Gurin, A.M.
title Geometric attractor of an electron beam passing through a crystal
title_short Geometric attractor of an electron beam passing through a crystal
title_full Geometric attractor of an electron beam passing through a crystal
title_fullStr Geometric attractor of an electron beam passing through a crystal
title_full_unstemmed Geometric attractor of an electron beam passing through a crystal
title_sort geometric attractor of an electron beam passing through a crystal
publisher Національний науковий центр «Харківський фізико-технічний інститут» НАН України
publishDate 2001
topic_facet Electrodynamics of high energies in matter and strong fields
url http://dspace.nbuv.gov.ua/handle/123456789/79473
citation_txt Geometric attractor of an electron beam passing through a crystal / A.M. Gurin // Вопросы атомной науки и техники. — 2001. — № 6. — С. 147-148. — Бібліогр.: 8 назв. — англ.
series Вопросы атомной науки и техники
work_keys_str_mv AT gurinam geometricattractorofanelectronbeampassingthroughacrystal
first_indexed 2023-10-18T19:18:46Z
last_indexed 2023-10-18T19:18:46Z
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