Magnetic Moment of a Particle with Arbitrary Spin

C. R. Hagen; W. J. Hurley

doi:10.1103/PhysRevLett.24.1381

Magnetic Moment of a Particle with Arbitrary Spin

C. R. Hagen and W. J. Hurley

Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627

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Phys. Rev. Lett. 24, 1381 – Published 15 June, 1970Erratum Phys. Rev. Lett. 25, 197 (1970)

DOI: https://doi.org/10.1103/PhysRevLett.24.1381

Abstract

The magnetic moment of a particle of nonzero spin $S$ is computed by the introduction of minimal coupling into the appropriate Galilean-invariant wave equation. It is shown that the requirement that the differential equations be of first order, together with a minimality assumption on the number of components, uniquely implies a $g$ factor of $\frac{1}{S}$ . The role played by this minimality condition is made explicit by means of a counterexample.

Erratum