On the non-uniqueness problem of the covariant Dirac theory and the spin-rotation coupling
Abstract
Gorbatenko & Neznamov [arXiv:1301.7599] recently claimed the absence of the title problem. In this paper, the reason for that problem is reexplained by using the notions of a unitary transformation and of the mean value of an operator, invoked by them. Their arguments actually aim at proving the uniqueness of a particular prescription for solving this problem. But that prescription is again shown non-unique. Two Hamiltonians in the same reference frame in a Minkowski spacetime, only one of them including the spin-rotation coupling term, are proved to be physically non-equivalent. This confirms that the reality of that coupling should be checked experimentally.
Keywords
Cite
@article{arxiv.1302.5584,
title = {On the non-uniqueness problem of the covariant Dirac theory and the spin-rotation coupling},
author = {Mayeul Arminjon},
journal= {arXiv preprint arXiv:1302.5584},
year = {2013}
}
Comments
17 pages. V2: Version to appear in Int. J. Theor. Phys.: Details about the (gross) inequivalence of the Hamiltonians with either the inertial tetrad or the rotating one on pp. 11-12. Added Appendix proving that, for the (standard) covariant Dirac equation, the mean values of the energy can not be shifted by a constant after a smooth change of the tetrad field. Added Footnote 2 on p. 4