Phys. Rev. 37, 1398 - 1405 (1931)

A Tensor Form of Dirac's Equation

Download: Page Images , PDF (508 kB), or Buy this Article (Use Article Pack) Export: BibTeX or EndNote (RIS)

Boris Podolsky *
California Institute of Technology

Received 8 April 1931

In this paper a simple tensor form of Dirac's equation is obtained. This is accomplished by considering ψs and γα(rs) of the usual equations as being related to a set of n-beins as invariants corresponding to true tensors ψμ and Γαβσ. 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.


©1931 The American Physical Society

URL: http://link.aps.org/abstract/PR/v37/p1398
DOI: 10.1103/PhysRev.37.1398

* This work was started at the Leipzig Physikalisches Institut while the author was there on a National Research Fellowship.

[ Abstract  |  Previous article  |  Next article  |  Issue 11 ]