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On the uniqueness of the Dirac theory in curved and flat spacetime
Authors:Mikhail V. Gorbatenko  Vasily P. Neznamov
Affiliation:Russian Federal Nuclear Center – All‐Russian Research Institute of Experimental Physics, Sarov, Russia
Abstract:In this work a number of examples are used to illustrate uniqueness of physical prediction of the Dirac theory in a curved and a flat spacetime. Dirac Hamiltonians in arbitrary, including time‐dependent, gravitational fields uniquely determine physical characteristics of quantum‐mechanical systems irrespective of the choice of the tetrad fields. Direct spin‐rotation coupling that occurs with a certain choice of tetrads does not manifest itself in final physical characteristics of the systems and therefore does not represent a physically relevant effect.
Keywords:Dirac Hamiltonian  curved spacetime  unitary transformation  flat spacetime
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