The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties

The excited states of materials with the structure of crystals were analyzed in the paper. Here the reaction of crystalline lattice on excitation was taken into account. Such consideration leads to nonlinear Schredinger equations. At a solution of these equations some possible variants of the nonlin...

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Бібліографічні деталі
Дата:2014
Автори: Suprun, A.D., Shmeleva, L.V.
Формат: Стаття
Мова:English
Опубліковано: НТК «Інститут монокристалів» НАН України 2014
Назва видання:Functional Materials
Теми:
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/120371
Теги: Додати тег
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties / A.D. Suprun, L.V. Shmeleva // Functional Materials. — 2014. — Т. 21, № 1. — С. 69-79. — Бібліогр.: 20 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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record_format dspace
spelling irk-123456789-1203712017-06-13T03:04:03Z The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties Suprun, A.D. Shmeleva, L.V. Modeling and simulation The excited states of materials with the structure of crystals were analyzed in the paper. Here the reaction of crystalline lattice on excitation was taken into account. Such consideration leads to nonlinear Schredinger equations. At a solution of these equations some possible variants of the nonlinearities which are different from the cubic are considered. The possibility of constructing of spherically-symmetric analytical solutions with finite norm analyzed. The analytical solutions in the form of centrally symmetric solitons were found. The obtained solutions show the expressed wave-corpuscle dualism. It is shown, that dynamic properties of excitation are identical to dynamics of not self-trapped quasiparticle. An important feature of these solutions is that their amplitudes (or squares of the amplitudes) have an asymptotic behavior of the type of 1/ρ, with ρ →∞. 2014 Article The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties / A.D. Suprun, L.V. Shmeleva // Functional Materials. — 2014. — Т. 21, № 1. — С. 69-79. — Бібліогр.: 20 назв. — англ. 1027-5495 http://dspace.nbuv.gov.ua/handle/123456789/120371 DOI: dx.doi.org/10.15407/fm21.01.069 en Functional Materials НТК «Інститут монокристалів» НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Modeling and simulation
Modeling and simulation
spellingShingle Modeling and simulation
Modeling and simulation
Suprun, A.D.
Shmeleva, L.V.
The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties
Functional Materials
description The excited states of materials with the structure of crystals were analyzed in the paper. Here the reaction of crystalline lattice on excitation was taken into account. Such consideration leads to nonlinear Schredinger equations. At a solution of these equations some possible variants of the nonlinearities which are different from the cubic are considered. The possibility of constructing of spherically-symmetric analytical solutions with finite norm analyzed. The analytical solutions in the form of centrally symmetric solitons were found. The obtained solutions show the expressed wave-corpuscle dualism. It is shown, that dynamic properties of excitation are identical to dynamics of not self-trapped quasiparticle. An important feature of these solutions is that their amplitudes (or squares of the amplitudes) have an asymptotic behavior of the type of 1/ρ, with ρ →∞.
format Article
author Suprun, A.D.
Shmeleva, L.V.
author_facet Suprun, A.D.
Shmeleva, L.V.
author_sort Suprun, A.D.
title The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties
title_short The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties
title_full The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties
title_fullStr The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties
title_full_unstemmed The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties
title_sort centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties
publisher НТК «Інститут монокристалів» НАН України
publishDate 2014
topic_facet Modeling and simulation
url http://dspace.nbuv.gov.ua/handle/123456789/120371
citation_txt The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties / A.D. Suprun, L.V. Shmeleva // Functional Materials. — 2014. — Т. 21, № 1. — С. 69-79. — Бібліогр.: 20 назв. — англ.
series Functional Materials
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