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Third-order relativistic dynamics: classical spinning particle travelling in a plane

Third-order relativistic dynamics: classical spinning particle travelling in a plane

Mathisson’s ‘new mechanics’ of a relativistic spinning particle is shown to follow, in the case of planar motion, from only general requirements of relativistic invariance and of the dependence on third order derivatives along with the ‘variationality’ feature. The hamiltonian counterpart ultimat...

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Main Author: Matsyuk, R.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 1998
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/118986
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spelling irk-123456789-1189862017-06-03T03:02:28Z Third-order relativistic dynamics: classical spinning particle travelling in a plane Matsyuk, R. Mathisson’s ‘new mechanics’ of a relativistic spinning particle is shown to follow, in the case of planar motion, from only general requirements of relativistic invariance and of the dependence on third order derivatives along with the ‘variationality’ feature. The hamiltonian counterpart ultimately recovers the Dixon equations for this case with the Pirani supplementary condition. Показано, як ”нова механіка“ Матісона для опису частинки зі спіном випливає (у випадку вільного руху в одній площині) лише із загальних вимог про релятивістичну інваріянтність та суттєву залежність від похідних аж до третього порядку в такому рівнянні руху, яке випливає з варіяційного принципу. Гамільтонів підхід тоді знову відтворює рівняння Діксона з доповняльною умовою Пірані. 1998 Article Third-order relativistic dynamics: classical spinning particle travelling in a plane / R. Matsyuk // Condensed Matter Physics. — 1998. — Т. 1, № 3(15). — С. 453-462. — Бібліогр.: 13 назв. — англ. 1607-324X DOI:10.5488/CMP.1.3.453 PACS: 03.20.+i, 02.40.+m http://dspace.nbuv.gov.ua/handle/123456789/118986 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description Mathisson’s ‘new mechanics’ of a relativistic spinning particle is shown to follow, in the case of planar motion, from only general requirements of relativistic invariance and of the dependence on third order derivatives along with the ‘variationality’ feature. The hamiltonian counterpart ultimately recovers the Dixon equations for this case with the Pirani supplementary condition.
format Article
author Matsyuk, R.
spellingShingle Matsyuk, R.
Third-order relativistic dynamics: classical spinning particle travelling in a plane
Condensed Matter Physics
author_facet Matsyuk, R.
author_sort Matsyuk, R.
title Third-order relativistic dynamics: classical spinning particle travelling in a plane
title_short Third-order relativistic dynamics: classical spinning particle travelling in a plane
title_full Third-order relativistic dynamics: classical spinning particle travelling in a plane
title_fullStr Third-order relativistic dynamics: classical spinning particle travelling in a plane
title_full_unstemmed Third-order relativistic dynamics: classical spinning particle travelling in a plane
title_sort third-order relativistic dynamics: classical spinning particle travelling in a plane
publisher Інститут фізики конденсованих систем НАН України
publishDate 1998
url http://dspace.nbuv.gov.ua/handle/123456789/118986
citation_txt Third-order relativistic dynamics: classical spinning particle travelling in a plane / R. Matsyuk // Condensed Matter Physics. — 1998. — Т. 1, № 3(15). — С. 453-462. — Бібліогр.: 13 назв. — англ.
series Condensed Matter Physics
work_keys_str_mv AT matsyukr thirdorderrelativisticdynamicsclassicalspinningparticletravellinginaplane
first_indexed 2023-10-18T20:33:32Z
last_indexed 2023-10-18T20:33:32Z
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