Thank you for weighing in. The gist of what you're saying is: this is a gravitational analogue of the hydrogen atom problem.
It is. It can be solved in exactly the same way, quantum-mechanically. I have done it.
My question is: In what other ways can this problem be addressed?
1. How...
Since we don't have a viable theory of quantum gravity, I'm using a straightforward classical (Newtonian) gravitational potential.
All I'm interested in is ballpark values, accurate to an order of magnitude, and I do get that.
Greetings.
Let's say we have a bound state problem: two micro black holes in orbit around one other. Let us disregard Hawking evaporation, and solve this problem.
The usual way of solving this problem is to do so quantum-mechanically by employing the Schrodinger equation, deducting the...