The Wong equations, which describe the motion of a classical charged particle with isospin in an external gauge field, are considered. The structure of the Lie algebra of the linear integrals of motion of these equations is investigated. An algebraic condition for integrability of the Wong equations is formulated. Some examples are considered.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 133–140, December, 2015.
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Magazev, A.A. Integrability of the Wong Equations in the Class of Linear Integrals of Motion. Russ Phys J 58, 1816–1825 (2016). https://doi.org/10.1007/s11182-016-0722-y
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DOI: https://doi.org/10.1007/s11182-016-0722-y