Whenever a diffuse gravitating system condenses into a stable and more compact object, energy must be removed from it.
This is a consequence of the Virial theorem, which mandates that in a stable system of gravitating particles there must be a proportional balance between the magnitudes of...
So I have already calculated correctly that the expectation of the interaction potential for hydrogenic atoms is
<nlm|V(r)|nlm>=-(uZ^2e^4)/((hbar^2)*n^2)
Note that u= mass,and V(r)=-Ze^2/r
I now have to calculate <nlm|T|nlm> where T is the kinetic energy operator, and
T=p^2/(2u) +...