Generalized Lagrangians and Spinning Particles
We show that the spin structure of elementary particles can be naturally described by the generalized Ostrogradskii Lagrangians depending on higher-order derivatives. One component of a spin is related to the rotation of a particle and the other one, caused by the dependence of a Lagrangian on the a...
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| Date: | 2001 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4330 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510461666000896 |
|---|---|
| author | Rivas, M. Рівас, М. |
| author_facet | Rivas, M. Рівас, М. |
| author_sort | Rivas, M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:26:41Z |
| description | We show that the spin structure of elementary particles can be naturally described by the generalized Ostrogradskii Lagrangians depending on higher-order derivatives. One component of a spin is related to the rotation of a particle and the other one, caused by the dependence of a Lagrangian on the acceleration, is known as a zitterbewegung component of spin. |
| first_indexed | 2026-03-24T02:57:22Z |
| format | Article |
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| id | umjimathkievua-article-4330 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:57:22Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0f/c222c38bd63fab550f90908e4d82930f.pdf |
| spelling | umjimathkievua-article-43302020-03-18T20:26:41Z Generalized Lagrangians and Spinning Particles Узагальнені лагранжіани для частинок зі спіном Rivas, M. Рівас, М. We show that the spin structure of elementary particles can be naturally described by the generalized Ostrogradskii Lagrangians depending on higher-order derivatives. One component of a spin is related to the rotation of a particle and the other one, caused by the dependence of a Lagrangian on the acceleration, is known as a zitterbewegung component of spin. Показано, що спінова структура елементарних частинок природно описується узагальненими лагранжіаиами Остроградського, що залежать від похідних вищого порядку. Одна компонента спіну відповідає обертанню частинки, а друга, що обумовлена залежністю лагранжіана від прискорення, відома як вібраційна (zitterbewegung) компонента. Institute of Mathematics, NAS of Ukraine 2001-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4330 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 8 (2001); 1109-1120 Український математичний журнал; Том 53 № 8 (2001); 1109-1120 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/4330/5364 https://umj.imath.kiev.ua/index.php/umj/article/view/4330/5365 Copyright (c) 2001 Rivas M. |
| spellingShingle | Rivas, M. Рівас, М. Generalized Lagrangians and Spinning Particles |
| title | Generalized Lagrangians and Spinning Particles |
| title_alt | Узагальнені лагранжіани для частинок зі спіном |
| title_full | Generalized Lagrangians and Spinning Particles |
| title_fullStr | Generalized Lagrangians and Spinning Particles |
| title_full_unstemmed | Generalized Lagrangians and Spinning Particles |
| title_short | Generalized Lagrangians and Spinning Particles |
| title_sort | generalized lagrangians and spinning particles |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4330 |
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