A diatomic molecule can be modeled as a rigid rotor with moment of inertia I and anelectric dipole moment d along the axis of the rotor. The rotor is constrained to rotatein a plane, and a weak uniform electric field & lies in the plane. Write the classicalHamiltonian for the rotor, and find the unperturbed energy levels by quantizing theangular-momentum operator. Then treat the electric field as a perturbation, and findthe first nonvanishing corrections to the energy levels.

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