GENERAL DESCRIPTION OF DIRAC SPIN–ROTATION EFFECT WITH RELATIVISTIC FACTOR

Abstract

The Mashhoon rotation–spin coupling is studied by means of the parallelism description of general relativity. The relativistic rotational tetrad is exploited which results in the Minkowski metric, and the torsion axial-vector and Dirac spin coupling will give the Mashhoon rotation–spin term. For the high speed rotating cases, the tangent velocity constructed by the angular velocity Ω multiplying the distance r may exceed over the speed of light c, i.e. Ωr ≥ c, which will make the relativistic factor γ infinity or imaginary. In order to avoid this "meaningless" difficulty occurring in γ factor, we choose to make the rotation non-uniform and position-dependent in a particular way, and then we find that the new rotation–spin coupling energy expression is consistent with the previous results in the low speed limit.