（2.1）型Stackel空间中带电试验粒子的Hamilton-Jacobi方程的分离变量
Separation of variables in Hamilton-Jacobi equation for a charged test particle in the Stackel spaces of type (2.1)
摘要：
用完全分离变量的方法将经典带电试验粒子的运动方程积分到Hamilton-Jacobi方程中，得到Stackel空间的电磁势和时空度规的所有等价类。使用（2.1）型相互交换的运动积分的完整集合进行分离，由此在特权坐标系中，Hamilton-Jacobi方程变成抛物型方程。
英文摘要：
Found all equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces, provided that the equations of motion of the classical charged test particles are integrated by the method of complete separation of variables in the Hamilton-Jacobi equation. Separation is carried out using the complete sets of mutually-commuting integrals of motion of type (2.1), whereby in a privileged coordinate system the Hamilton-Jacobi equation turns into a parabolic type equation.
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。
