罗巴切夫斯基空间中由磁场引起的运动
Motion Caused by Magnetic Field in Lobachevsky Space
摘要：
本文研究了在三维罗巴切夫斯基空间中存在类似于欧氏空间中恒定均匀磁场的外磁场时相对论粒子的运动。求出了三个运动积分，并在特殊柱坐标系下精确求解了运动方程。详细讨论了等半径圆柱表面的运动。
英文摘要：
We study motion of a relativistic particle in the 3-dimensional Lobachevsky space in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in the Euclidean space. Three integrals of motion are found and equations of motion are solved exactly in the special cylindrical coordinates. Motion on surface of the cylinder of constant radius is considered in detail.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
