论文标题

汉密尔顿 - 雅各比方程中变量的分离,用于类型(2.0)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 (2.0)

论文作者

Obukhov, Valeriy

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 - 雅各布方程中变量的完全分离的方法来整合的。使用类型(2.0)运动的全面共同集成体进行分离,在特权坐标系中,汉密尔顿 - 雅各比方程将变成非parabolic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 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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