Abstract
I HAVE been able to show that there does not exist a mutually definite correlation between the spin and the transformation properties of the wave function of an elementary particle, as generally assumed. In particular, it will be seen that from the wave equation1 quoted below there results for the electron a mechanical spin of the value ± ½h and a magnetic moment ch/2mc, just as in the case of the Dirac equation, although in our example the components of the wave function do not transform as spinors do, and further, the wave equation is not Lorentz-invariant at all.
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References
van der Waerden, “Mod. Alg.", 2 (Springer, 1937).
Kemmer, Proc. Roy. Soc., A, 173, 91 (1939).
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ROMÁN, P. Spin and Wave Function of an Elementary Particle. Nature 164, 406–407 (1949). https://doi.org/10.1038/164406a0
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DOI: https://doi.org/10.1038/164406a0
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