Dynamic equations of scalar charged particle motion in a classical scalar field are formulated based on the Hamilton formalism, and a model with zero particle mass is considered. Linear integrals of motion are derived, and ambiguity of the relationship between the kinematic particle velocity and momentum is indicated.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 36–40, January, 2012.
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Ignat’ev, Y.G. Cosmological evolution of plasma with scalar interparticle interaction. I. Canonical formulation of classical scalar interaction. Russ Phys J 55, 166–172 (2012). https://doi.org/10.1007/s11182-012-9790-9
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DOI: https://doi.org/10.1007/s11182-012-9790-9