Abstract
The nature of the singularity at the origin of the solution of Dirac's equation in Reissner-Nordström geometry is different from that in flat space. Here, both independent solutions are regular at the origin, and both give a convergent normalization integral. The choice between the two solutions is made by requiring that the variational integral, from which the differential equation can be derived, be convergent. The gravitational shift of the ground state of hydrogen in Reissner-Nordström geometry is estimated to be only of order 10(-36) MH.
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