# Hypothetical 'black hole'/electron atom

## Homework Statement

I have been asked to consider an atom formed between an electron and 'black hole' i.e. a point singularity with mass and no charge. I should find the mass of the black hole Mh such that the energy levels of this atom would be identical to the energy levels of a hydrogen atom

I'm fairly sure I can calculate a mass that would give the same energy of the n=1 orbital (13.6eV) at the Bohr radius a0 by considering gravitational rather than EM interactions, but I'm having difficulty grasping the notion of quantised gravitational orbits. Are all 'energy levels' quantised?

Cheers guys

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