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arXiv · 2007.09492

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

Valeriy Obukhov
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Abstract

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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Valeriy Obukhov. 2020-07-18. Separation of variables in Hamilton-Jacobi equation for a charged test particle in the Stackel spaces of type (2.0). https://doi.org/10.3390/sym12081289

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