Equations of Motion of Point Particles in Fields of Nonzero Rest Mass and Spin

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Abstract
A classical theory of free fields corresponding to quanta of arbitrary integral spin has been formulated by Dirac and Fierz. Sources of such neutral fields were considered by Harish-Chandra, who also obtained the equations of motion for arbitrary multipole singularities. It is noted that for fields of nonzero rest mass and spin the conditions imposed on the sources by Harish-Chandra are more stringent than is required by the invariance properties of the fields, and a more general set of equations is proposed. The corresponding equations of motion are obtained for arbitrary multipole singularities. The theory is extended to charged and charge-symmetric fields.

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