I'm doing some computational research into quarkonium states and I've written a code that determines energy levels by finding a solution to the Schrodinger equation for a given angular momentum. I.e. if you tell it L=2, the ground state it will return will be for n=3,L=2. The next solution it will find will be the energy of n=4,L=2.
The thing is, the energy of n=2,L=0 is not only not equal to n=2,L=1, the energy of the state will decrease with increasing angular momentum. E(n=3,L=2)
It seems counter-intuitive that higher energy is achieved by lower angular momentum. All my chemistry education tells me this is wrong, but the results of the code are undeniable.
Can anyone explain?