标题： 近日点进动在狭义相对论二体问题中 显示英文标题

标题： Perihelion Precession in the Special Relativistic Two-Body Problem

摘要： 具有洛伦兹不变库仑相互作用的经典两体系统 V=-k/rho 在 3+1 维空间中使用 Stueckelberg 的显式协变哈密顿力学求解。得到了对应于束缚吸引、非束缚吸引和排斥散射运动的约化运动的特解。在束缚吸引轨道中发现没有近日点进动，随后半经典氢光谱中不包含精细结构修正。认为这一预测表明了在无磁相互作用极限下正确的经典狭义相对论两体理论。 显示英文摘要

摘要： The classical two-body system with Lorentz-invariant Coulomb interaction V=-k/rho is solved in 3+1 dimensions using the manifestly covariant Hamiltonian mechanics of Stueckelberg. Particular solutions for the reduced motion are obtained which correspond to bound attractive, unbound attractive, and repulsive scattering motion. A lack of perihelion precession is found in the bound attractive orbit, and the semi-classical hydrogen spectrum subsequently contains no fine structure corrections. It is argued that this prediction is indicative of the correct classical special relativistic two-body theory for the limit of no magnetic interaction.