Lorentz-covariant reduced spin density matrix and Einstein-Podolsky-Rosen–Bohm correlations

Abstract

We show that it is possible to define a Lorentz-covariant reduced spin density matrix for massive particles. Such a matrix allows one to calculate the mean values of observables connected with spin measurements (average polarizations). Moreover, it contains not only information about polarization of the particle but also information about its average kinematical state. We also use our formalism to calculate the correlation function in the Einstein-Podolsky-Rosen--Bohm type experiment with massive relativistic particles.