Generalized total angular momentum operator for the Dirac equation in curved space-time

Details Generalized total angular momentum operator for the Dirac equation in curved space-time Generalized total angular momentum operator for the Dirac equation in curved space-time

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979phrvd..19.1093c&link_type=abstract

Physical Review D (Particles and Fields), Volume 19, Issue 4, 15 February 1979, pp.1093-1097

Physics

124

Scientific paper

It is found that an operator of the form iγ5γμ[fμν∇ν-(16)γνγρfμνρ] commutes with the Dirac operator γμ∇ν whenever fμν is an antisymmetric tensor satisfying the Penrose-Floyd equation fμ(νρ)=0. Such a tensor exists notably in the Kerr solutions and in the flat-space limit wherein the operator can be interpreted as the square root of the ordinary total squared angular momentum Casimir operator of the rotation group.

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