论文标题
汉密尔顿 - 雅各比方程中变量的分离,用于类型(2.1)的堆叠空间中带电的测试粒子
Separation of variables in Hamilton-Jacobi equation for a charged test particle in the Stackel spaces of type (2.1)
论文作者
论文摘要
发现所有等同类别的电磁电位和叠放空间的时空指标,前提是,经典带电测试粒子的运动方程是通过汉密尔顿 - 雅各比方程中变量的完全分离的方法来整合的。使用类型(2.1)的运动积分的完整集合进行分离,在特权坐标系中,汉密尔顿 - 雅各比方程将变成抛物线类型方程。
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.