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Relativistic wave equation for a massive charged particle with arbitrary spin

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Abstract.

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 \(s \geq 1\). We derive the corresponding Lorentz-invariant Lagrangian, and present the related spinorial eigen-functions for particles and anti-particles.

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Authors and Affiliations

  1. Institute for Experimental and Applied Physics, Christian Albrechts University at Kiel, Leibnizstr. 11, 24118, Kiel, Germany

    Eckart Marsch

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  1. Eckart Marsch
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Correspondence to Eckart Marsch.

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Marsch, E. Relativistic wave equation for a massive charged particle with arbitrary spin. Eur. Phys. J. Plus 132, 188 (2017). https://doi.org/10.1140/epjp/i2017-11460-6

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  • DOI: https://doi.org/10.1140/epjp/i2017-11460-6

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