论文标题

汉密尔顿 - 雅各比和klein-gordon-fock方程中变量的分离,用于类型(1.1)的堆叠空间中带电的测试粒子

Separation of variables in Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in the Stackel spaces of type (1.1)

论文作者

Obukhov, V. V.

论文摘要

如果可以通过完全分离变量的方法来整合,则所有用于基于基准空间的电磁电位和时空指标的等效类别可以通过完全分离的方法进行集成。使用类型(1.1)的运动积分的完整集合进行分离。在特权坐标系中,给定方程将变成抛物线类型方程。因此,这些指标可以用作描述平面重力波的模型。

All equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces, provided that Hamilton-Jacobi equation and Klein-Gordon-Fock equation for a charged test particle can be integrated by the method of complete separation of variables are found. The separation is carried out using the complete sets of mutually-commuting integrals of motion of type (1.1). Whereby in a privileged coordinate system the given equations turn into parabolic type equations. Hence, these metrics can be used as models for describing plane gravitational waves.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源