(2.0)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 (2.0)
摘要:
用完全分离变量的方法将经典带电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。分离是用(2.0)型运动的互逆交换积分的完整集合来进行的,由此在一个特殊的坐标系中,哈密尔顿-雅可比方程变成一个非抛物型方程。
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 reciprocal-commuting integrals of motion of type (2.0), whereby in a privileged coordinate system the Hamilton- Jacobi equation turns into a nonparabolic type equation.
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