On the Non-uniqueness Problem of the Covariant Dirac Theory and the Spin-Rotation Coupling

Mayeul Arminjon (1)

1 3SR - Laboratoire sols, solides, structures - risques [Grenoble]

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.

Mots clés: Dirac Hamiltonian; Curved spacetime; Unitary transformation; Rotating frame

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique mathématique [math-ph]; Physique mathématique [math-ph]; Physique Quantique [quant-ph]

Mayeul Arminjon. On the Non-uniqueness Problem of the Covariant Dirac Theory and the Spin-Rotation Coupling. International Journal of Theoretical Physics, 2013, 52 (11), pp. 4032-4044. ⟨10.1007/s10773-013-1717-x⟩. ⟨hal-00907321⟩