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

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

preprint2012arXivOpen access
Mayeul Arminjon
gr-qc
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Mayeul Arminjon

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