Separation of variables in HamiltonJacobi equation for a charged test particle in the Stackel spaces of type (2.0)
Abstract
Found all equivalence classes for electromagnetic potentials and spacetime 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 reciprocalcommuting integrals of motion of type (2.0), whereby in a privileged coordinate system the Hamilton Jacobi equation turns into a nonparabolic type equation.
 Publication:

arXiv eprints
 Pub Date:
 July 2020
 arXiv:
 arXiv:2007.09492
 Bibcode:
 2020arXiv200709492O
 Keywords:

 General Relativity and Quantum Cosmology;
 83C10;
 83C15;
 83C20;
 83C50
 EPrint:
 17 pagas, submitted to Symmetry