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...
Збережено в:
| Дата: | 2008 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-148976 |
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irk-123456789-1489762019-02-20T01:25:48Z The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time Matsyuk, R.Ya. 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. 2008 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148976 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Matsyuk, R.Ya. |
| spellingShingle |
Matsyuk, R.Ya. The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Matsyuk, R.Ya. |
| author_sort |
Matsyuk, R.Ya. |
| title |
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_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_sort |
variational principle for the uniform acceleration and quasi-spin in two dimensional space-time |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148976 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT matsyukrya thevariationalprinciplefortheuniformaccelerationandquasispinintwodimensionalspacetime AT matsyukrya variationalprinciplefortheuniformaccelerationandquasispinintwodimensionalspacetime |
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2023-05-20T17:31:55Z |
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2023-05-20T17:31:55Z |
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