Solving S.E. for rigid rotor (asymmetric top)

I'm looking to numerically solve the rotational Schrodinger eqn. for a molecule which I'm happy to treat as an internally rigid body.

The molecule will be in an external potential, so it's not a free rotor.

Does anyone have any advice or references for an easy derivation of
the K.E. operator? The rigid rotor page on Wikipedia has a derivation in terms of Euler angles, which I can maybe just about follow. Is this a good way to do this problem?

Also, is the solution analytic for the general asymmetric top? If so- I'd like to form basis functions from the free rotor solutions.

Thanks in advance for any help.


This is treated in many books on molecular physics. See, for instance, W. Demtröder, Molecular Physics

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