Relativistic wave equation for a massive charged particle with arbitrary spin
Institute for Experimental and Applied Physics, Christian Albrechts University at Kiel, Leibnizstr. 11, 24118, Kiel, Germany
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Accepted: 20 March 2017
Published online: 26 April 2017
In this paper we present a relativistic second-order differential wave equation for a charged massive particle that may have arbitrary spin. Thereby we make use of the chiral Pauli-Lubański operator by help of which we obtain two separate wave equations including the electromagnetic field. They are associated with right- and left-chiral spinors, both of which are (2s + 1)-multiplets for a general spin . We derive the corresponding Lorentz-invariant Lagrangian, and present the related spinorial eigen-functions for particles and anti-particles.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2017