Stationary bound states of spin-half particles in the Reissner-Nordstroem gravitational field

@inproceedings{Gorbatenko2013StationaryBS,
  title={Stationary bound states of spin-half particles in the Reissner-Nordstroem gravitational field},
  author={Mikhail V. Gorbatenko and Vasily P. Neznamov},
  year={2013}
}
We prove the possibility of existence of stationary bound states of spin-half particles in the Reissner-Nordstroem gravitational field using a self-conjugate Hamiltonian with a flat scalar product of wave functions. Bound states of Dirac particles with a real discrete energy spectrum can exist both for particles above the external "event horizon", and for particles under the internal "event horizon", or the Cauchy horizon. The Hilbert condition g_{00}>0 leads to a boundary condition such that… CONTINUE READING