Summary
Attention is called to a possible solution to the problem of the ambiguity in the numerical coefficient of the correction term (h 2R) that occurs in the Klein-Gordon and relativistic Pauli equations in the presence of a gravitational field. This solution is based on the possibility of factorizing the relativistic Pauli equation for the propagator of the spin-(1/2) particle, defined by a path integral, to obtain the Dirac equation in the presence of a gravitational field.
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Mellek, M. Factorization of the relativistic Pauli equation in the presence of a gravitational field. Nuov Cim B 107, 911–913 (1992). https://doi.org/10.1007/BF02899293
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DOI: https://doi.org/10.1007/BF02899293