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Article

Hamilton–Jacobi Equation for a Charged Test Particle in the Stäckel Space of Type (2.0)

1
Department of Theoretical Physics, Tomsk State Pedagogical University, 60 Kievskaya St., 634041 Tomsk, Russia
2
Department of Theoretical Physics, Tomsk State University, 36 Lenin Ave., 634041 Tomsk, Russia
Symmetry 2020, 12(8), 1289; https://doi.org/10.3390/sym12081289
Received: 18 June 2020 / Revised: 12 July 2020 / Accepted: 14 July 2020 / Published: 3 August 2020
(This article belongs to the Special Issue Symmetry: Feature Papers 2020)
All electromagnetic potentials and space–time metrics of Stäckel spaces of type (2.0) in which the Hamilton–Jacobi equation for a charged test particle can be integrated by the method of complete separation of variables are found. Complete sets of motion integrals, as well as complete sets of killing vector and tensor fields, are constructed. The results can be used when studying solutions of field equations in the theory of gravity. View Full-Text
Keywords: theory of symmetry; separation of variables; Hamilton–Jacobi equation; integrals of motion theory of symmetry; separation of variables; Hamilton–Jacobi equation; integrals of motion
MDPI and ACS Style

Obukhov, V. Hamilton–Jacobi Equation for a Charged Test Particle in the Stäckel Space of Type (2.0). Symmetry 2020, 12, 1289. https://doi.org/10.3390/sym12081289

AMA Style

Obukhov V. Hamilton–Jacobi Equation for a Charged Test Particle in the Stäckel Space of Type (2.0). Symmetry. 2020; 12(8):1289. https://doi.org/10.3390/sym12081289

Chicago/Turabian Style

Obukhov, Valeriy. 2020. "Hamilton–Jacobi Equation for a Charged Test Particle in the Stäckel Space of Type (2.0)" Symmetry 12, no. 8: 1289. https://doi.org/10.3390/sym12081289

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