二维时空中的均匀加速与准自旋变分原理
数学物理
2008-04-25 v2 微分几何
math.MP
摘要
发现了二维（伪）黎曼空间中测地圆对应的变分原理及其微分方程。强调了其与均匀加速相对论粒子这一物理概念的关系。由于拉格朗日函数表达式中存在二阶导数，从而出现了已知形式的自旋 - 曲率相互作用。该变分方程本身简化为二维（伪）欧几里得几何中恒定 Frenet 曲率的唯一不变变分方程。
引用
@article{arxiv.0802.0751,
title = {The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time},
author = {Roman Ya. Matsyuk},
journal= {arXiv preprint arXiv:0802.0751},
year = {2008}
}
备注
This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ Corrections: Signs in formulae 3.17, 3.18, 3.21, 3.22, next to A.14