Separation of variables in Hamilton–Jacobi equation for a charged test particle in the Stackel spaces of type (2.1)-Reference-Cited by-同舟云学术

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

Published:2020-10-27 Issue:14 Volume:17 Page:2050186
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Obukhov Valeriy¹²^ORCID

Affiliation:

1. Institute of Science Researches and Developments of Tomsk State Pedagogical University, Kievskaya Str., 60, Tomsk, 634041, Russia

2. Tomsk State University of Control Systems and Radioelectronics, 40 Lenin Ave., Tomsk, 634050, Russia

Abstract

We can find 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.

Funder

Ministry of Science and Higher Education of the Russian Federation

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887820501868

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