Inelastic Scattering of Electrons by Black Hole Atoms

Electron-impact inelastic scattering processes involving black hole atoms are calculated by direct solution of the general relativistic Klein-Gordon equation. In Eddington-Finkelstein coordinates for the space-time metric, the Hamiltonian is non-singular, complex, and non-Hermitian. Bound states of electrons and black holes with masses ranging from 3.8 $\times$ 10$^{12}$ kg to 7.6 $\times$ 10$^{13}$ kg are found by matrix solution of the time-independent Klein-Gordon equation. Absorption effects on inelastic scattering of electrons by black hole atoms are investigated by comparing solutions of the time-dependent Klein-Gordon equation with and without general relativistic corrections to the Newtonian gravitational potential.