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The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
Інший ID:
2000 Mathematics Subject Classification: 53A40; 70H50; 49N45; 83C10
Посилання:
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.
Підтримка:
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.
Дата:
2008
Переглядів:
508
Завантажень:
201
Анотація:
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.
