二维时空中匀加速和准自旋的变分原理
The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
摘要：
二维（伪）黎曼空间中测地圆的变分原理和相应的微分方程正在被发现。强调了与匀加速相对论粒子物理概念的关系。由于拉格朗日函数表达式中存在二阶导数，出现了已知形式的自旋-曲率相互作用。变分方程本身归结为二维（伪）欧几里德几何中唯一的常Frenet曲率不变变分方程。
英文摘要：
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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