The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
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| Creator |
Matsyuk, R.Ya.
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| 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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| Date |
2019-02-19T12:21:56Z
2019-02-19T12:21:56Z 2008 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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