arXiv subjects

Valeriy Obukhov

Publications and source records attributed to Valeriy Obukhov.

2 recordsLinked to original sources

arXiv2020

Separation of variables in Hamilton-Jacobi equation for a charged test particle in the Stackel spaces of type (2.1)

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.

gr-qc↗

arXiv2020

Separation of variables in Hamilton-Jacobi equation for a charged test particle in the Stackel spaces of type (2.0)

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.

gr-qc↗