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Classical spin theory

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Abstract

Tensor and vector equations of motion of a classical charged particle with spin have been derived within the framework of the special theory of relativity on the basis of Frenkel's tensor. The anomalous magnetic moment of the particle is considered in a natural manner in deriving the equations. The expression for the forces acting on the particle is constructed with consideration of the effect of spin on the motion trajectory. The spin equations proved to coincide with those obtained previously by Nyborg and Good. The properties of these equations have been studied, and it has been shown that the various equations are in fact variant forms of one and the same equation. In the absence of an anomalous magnetic moment the tensor equation coincides with Frenkel's spin equation, and in the same situation the vector equation transforms to the equation obtained by Tamm. In the special case of homogeneous fields the vector equation coincides with the well-known Bargmann-Michel-Telegdi equation. In conclusion we present spin motion equations for a particle with electric and magnetic charges.

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Authors and Affiliations

  1. High Current Electronics Institute, Siberian Branch of the Academy of Sciences of the USSR, USSR

    V. G. Bagrov & V. A. Bordovitsyn

  2. Lenin Komsomol Tomsk Pedagogic Institute, USSR

    V. G. Bagrov & V. A. Bordovitsyn

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  1. V. G. Bagrov
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  2. V. A. Bordovitsyn
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 67–76, February, 1980.

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Bagrov, V.G., Bordovitsyn, V.A. Classical spin theory. Soviet Physics Journal 23, 128–137 (1980). https://doi.org/10.1007/BF00892416

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