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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.