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I'm not sure what your question is asking, but I can try to give an answer.

The rotation of molecules, for example, are quantized at the quantum scale. We can use the rigid rotor model from classical physics to help describe the potential part of the Hamiltonian operator, as well as the form of the wave equation needed to find the energy of a particular rotational state.

It would be similar to using the simple harmonic oscillator to model the potentials and wavefunctions needed needed calculate the energy of vibrational levels of a molecule.

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Q: Why schrodinger equation for a rigid rotator is used to know?
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