[nezva]

I'm asked to prove that the spherical harmonics Y_3,1 and Y_3,-3 both satisfy the Schrodinger eq'n for the rigid rotor Hamiltonian.  What exactly is the "rigid rotor Hamiltonian"?  And how can I start proving it.  I am aware of how a Hamiltonian operator works.  I am stumped on the certain terminology.  Thank you in advance.

[Borek]

Rigid rotor means distance between particles doesn't change.

Just check if these are eigenfunctions of the Hamiltonian.

[tamim83]

The rigid rotor Hamiltonian can be found here: http://en.wikipedia.org/wiki/Rigid_rotor

Once you have this you just need to apply the Hamiltonian to the spherical harmonics to see if you get an eigenvalue (or energy) multiplied by the original wavefunction. 

Good luck with the math. 

[nezva]

Yes, the math was the worst part.  Thank you both for your help.  I was surprised when I did the math right, haha.