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We present a summary of: 1) the non-uniqueness problem of the Hamiltonian andenergy operators associated, in any given coordinate system, with thegenerally-covariant Dirac equation; 2) two different ways to restrict the gaugefreedom so as to solve that problem; 3) the application of these two ways tothe case of a uniformly rotating reference frame in Minkowski spacetime: wefind that a spin-rotation coupling term is there only with one of these twoways.

Summary of a non-uniqueness problem of the covariant Dirac theory and of two solutions of it