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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| Veröffentlicht in: | Functional Materials |
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| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | Englisch |
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НТК «Інститут монокристалів» НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/120371 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862721245967024128 |
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| author | Suprun, A.D. Shmeleva, L.V. |
| author_facet | Suprun, A.D. Shmeleva, L.V. |
| 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. |
| collection | DSpace DC |
| container_title | 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 →∞.
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| first_indexed | 2025-12-07T18:29:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-120371 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1027-5495 |
| language | English |
| last_indexed | 2025-12-07T18:29:56Z |
| publishDate | 2014 |
| publisher | НТК «Інститут монокристалів» НАН України |
| record_format | dspace |
| spelling | Suprun, A.D. Shmeleva, L.V. 2017-06-12T06:31:47Z 2017-06-12T06:31:47Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/120371 DOI: dx.doi.org/10.15407/fm21.01.069 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 →∞. en НТК «Інститут монокристалів» НАН України Functional Materials Modeling and simulation The centrally-symmetric solutions of electronic excitations of semiconductors in the conditions of relativistic like degeneracy of dynamical properties Article published earlier |
| spellingShingle | 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 |
| title | 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_short | 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 |
| topic | Modeling and simulation |
| topic_facet | Modeling and simulation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/120371 |
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