Question: Of the bound hydrogen atom eigenstates, which has the highest kinetic energy?

Answer: The lowest energy state.

Ain’t that curious? Kepler’s laws helped me understand this one. Oh, and this holds for all molecules – I leave the proof as an exercise.

Am I missing something, or shouldn’t this be “obvious” from the virial theorem.

now how about the morse potential? obviousness of the base case should mean generalizability in some sense right?