Abstract

In this paper it is shown that the polarization of a free Dirac particle can be treated in a covariant way in terms of an antisymmetric second-rank tensor operator which commutes with the Hamiltonian. The operator has the interpretation that in the rest system of the particle the space-space part is the spin and the space-time part is zero. In the quantized theory the second-rank tensor description of the polarization is a more appropriate notion than the four-vector description. The converse holds for the Foldy-Wouthuysen mean spin.

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