Dirac Hamiltonian and Reissner-Nordström metric: Coulomb interaction in curved space-time

@article{Noble2016DiracHA,
  title={Dirac Hamiltonian and Reissner-Nordstr{\"o}m metric: Coulomb interaction in curved space-time},
  author={Jack H. Noble and Ulrich D. Jentschura},
  journal={Physical Review A},
  year={2016},
  volume={93},
  pages={032108}
}
We investigate the spin-1/2 relativistic quantum dynamics in the curved space-time generated by a central massive charged object (black hole). This necessitates a study of the coupling of a Dirac particle to the Reissner-Nordstrom space-time geometry and the simultaneous covariant coupling to the central electrostatic field. The relativistic Dirac Hamiltonian for the Reissner-Nordstrom geometry is derived. A Foldy-Wouthuysen transformation reveals the presence of gravitational, and electro… 
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