The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
The variational principle and the corresponding differential equation for geodesic circles in two dimensional (pseudo)-Riemannian space are being discovered. The relationship with the physical notion of uniformly accelerated relativistic particle is emphasized. The known form of spin-curvature inter...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148976 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time / R.Ya. Matsyuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 19 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862602275514482688 |
|---|---|
| author | Matsyuk, R.Ya. |
| author_facet | Matsyuk, R.Ya. |
| citation_txt | The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time / R.Ya. Matsyuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 19 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The variational principle and the corresponding differential equation for geodesic circles in two dimensional (pseudo)-Riemannian space are being discovered. The relationship with the physical notion of uniformly accelerated relativistic particle is emphasized. The known form of spin-curvature interaction emerges due to the presence of second order derivatives in the expression for the Lagrange function. The variational equation itself reduces to the unique invariant variational equation of constant Frenet curvature in two dimensional (pseudo)-Euclidean geometry.
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| first_indexed | 2025-11-28T02:25:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148976 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T02:25:42Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Matsyuk, R.Ya. 2019-02-19T12:21:56Z 2019-02-19T12:21:56Z 2008 The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time / R.Ya. Matsyuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 19 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 53A40; 70H50; 49N45; 83C10 https://nasplib.isofts.kiev.ua/handle/123456789/148976 The variational principle and the corresponding differential equation for geodesic circles in two dimensional (pseudo)-Riemannian space are being discovered. The relationship with the physical notion of uniformly accelerated relativistic particle is emphasized. The known form of spin-curvature interaction emerges due to the presence of second order derivatives in the expression for the Lagrange function. The variational equation itself reduces to the unique invariant variational equation of constant Frenet curvature in two dimensional (pseudo)-Euclidean geometry. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). This work was supported by the Grant GACR 201/06/0922 of Czech Science Foundation. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time Article published earlier |
| spellingShingle | The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time Matsyuk, R.Ya. |
| title | The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time |
| title_full | The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time |
| title_fullStr | The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time |
| title_full_unstemmed | The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time |
| title_short | The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time |
| title_sort | variational principle for the uniform acceleration and quasi-spin in two dimensional space-time |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148976 |
| work_keys_str_mv | AT matsyukrya thevariationalprinciplefortheuniformaccelerationandquasispinintwodimensionalspacetime AT matsyukrya variationalprinciplefortheuniformaccelerationandquasispinintwodimensionalspacetime |