https://doi.org/10.1140/epjp/i2017-11460-6
Regular Article
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
* e-mail: marsch@physik.uni-kiel.de
Received:
20
December
2016
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
