Some statistical aspects of the spinor field Fermi-Bose duality
The structure of 29-dimensional extended real Clifford-Dirac algebra, which has been introduced in our paper Phys. Lett. A, 2011, 375, 2479, is considered in brief. Using this algebra, the property of Fermi-Bose duality of the Dirac equation with nonzero mass is proved. It means that Dirac equation...
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Дата: | 2012 |
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Автори: | , , |
Формат: | Стаття |
Мова: | English |
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Інститут фізики конденсованих систем НАН України
2012
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Назва видання: | Condensed Matter Physics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120297 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Some statistical aspects of the spinor field Fermi-Bose duality / V.M. Simulik, I.Yu. Krivsky, I.L. Lamer // Condensed Matter Physics. — 2012. — Т. 15, № 4. — С. 43101:1-10. — Бібліогр.: 51 назв. — англ. |
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irk-123456789-1202972017-06-12T03:05:31Z Some statistical aspects of the spinor field Fermi-Bose duality Simulik, V.M. Krivsky, I.Yu. Lamer, I.L. The structure of 29-dimensional extended real Clifford-Dirac algebra, which has been introduced in our paper Phys. Lett. A, 2011, 375, 2479, is considered in brief. Using this algebra, the property of Fermi-Bose duality of the Dirac equation with nonzero mass is proved. It means that Dirac equation can describe not only the fermionic but also the bosonic states. The proof of our assertion based on the examples of bosonic symmetries, solutions and conservation laws is given. Some statistical aspects of the spinor field Fermi-Bose duality are discussed. Коротко розглядається структура 29-вимiрної розширеної дiйсної алгебри Клiффорда-Дiрака,яка була введена в розгляд у нашiй публiкацiї Phys. Lett. A, 2011, 375, 2479. На основi цiєї алгебри доводиться властивiсть Фермi-Бозе дуалiзму рiвняння Дiрака з ненульовою масою. Це означає, що рiвняння Дiрака може описувати не лише фермiоннi, але й бозоннi стани. Доведення дається на прикладах наявностi бозонних симетрiй, розв’язкiв та законiв збереження. Розглянуто деякi статистичнi аспекти Фермi-Бозе дуалiзму спiнорного поля. 2012 Article Some statistical aspects of the spinor field Fermi-Bose duality / V.M. Simulik, I.Yu. Krivsky, I.L. Lamer // Condensed Matter Physics. — 2012. — Т. 15, № 4. — С. 43101:1-10. — Бібліогр.: 51 назв. — англ. PACS: 11.30-z., 11.30.Cp., 11.30.j DOI:10.5488/CMP.15.43101 arXiv:1212.6344 http://dspace.nbuv.gov.ua/handle/123456789/120297 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
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English |
description |
The structure of 29-dimensional extended real Clifford-Dirac algebra, which has been introduced in our paper Phys. Lett. A, 2011, 375, 2479, is considered in brief. Using this algebra, the property of Fermi-Bose duality of the Dirac equation with nonzero mass is proved. It means that Dirac equation can describe not only the fermionic but also the bosonic states. The proof of our assertion based on the examples of bosonic symmetries, solutions and conservation laws is given. Some statistical aspects of the spinor field Fermi-Bose duality are discussed. |
format |
Article |
author |
Simulik, V.M. Krivsky, I.Yu. Lamer, I.L. |
spellingShingle |
Simulik, V.M. Krivsky, I.Yu. Lamer, I.L. Some statistical aspects of the spinor field Fermi-Bose duality Condensed Matter Physics |
author_facet |
Simulik, V.M. Krivsky, I.Yu. Lamer, I.L. |
author_sort |
Simulik, V.M. |
title |
Some statistical aspects of the spinor field Fermi-Bose duality |
title_short |
Some statistical aspects of the spinor field Fermi-Bose duality |
title_full |
Some statistical aspects of the spinor field Fermi-Bose duality |
title_fullStr |
Some statistical aspects of the spinor field Fermi-Bose duality |
title_full_unstemmed |
Some statistical aspects of the spinor field Fermi-Bose duality |
title_sort |
some statistical aspects of the spinor field fermi-bose duality |
publisher |
Інститут фізики конденсованих систем НАН України |
publishDate |
2012 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/120297 |
citation_txt |
Some statistical aspects of the spinor field Fermi-Bose duality / V.M. Simulik, I.Yu. Krivsky, I.L. Lamer // Condensed Matter Physics. — 2012. — Т. 15, № 4. — С. 43101:1-10. — Бібліогр.: 51 назв. — англ. |
series |
Condensed Matter Physics |
work_keys_str_mv |
AT simulikvm somestatisticalaspectsofthespinorfieldfermiboseduality AT krivskyiyu somestatisticalaspectsofthespinorfieldfermiboseduality AT lameril somestatisticalaspectsofthespinorfieldfermiboseduality |
first_indexed |
2023-10-18T20:36:39Z |
last_indexed |
2023-10-18T20:36:39Z |
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1796150653573136384 |