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

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

2008-02-06

arxiv.org/abs/0802.0751v2

SIGMA 4 (2008), 016, 11 pages

Physics

Mathematical Physics

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2008.016

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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