In this paper a simple tensor form of Dirac's equation is obtained. This is accomplished by considering ${\psi }_s$ and ${\gamma }^{\alpha }\mathrm{}\left(\mathrm{rs}\right)\mathrm{}$ of the usual equations as being related to a set of $n$-beins as invariants corresponding to true tensors ${\psi }_{\mu }$ and ${{{\Gamma }^{\alpha }}_{\beta }}^{\sigma }$. The results are, however, independant of the choice of the $n$-beins. It is thus shown that the introduction of the idea of half-vectors in the quantum mechanics, while undoubtedly desirable when dealing exclusively with cartesian coordinates, is unnecessary.

• Received 8 April 1931

DOI:https://doi.org/10.1103/PhysRev.37.1398