The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Author: Matsyuk, R.Ya.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148976
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...