QM 6.3. Answer question throughly and with much detail as possible. Include formulas/ all work. Molecules can rotate as rigid bodies. The spectrum of a quantum rotor is given by the eigenvalues of theHamiltonianJ(J+1)h?2M, RL?H =and (H) = E =21where M, is the reduced mass of the nuclei and Ro their equilibrium separation. There exists in nature aparticle known as the muon. It is just a heavy electron with a mass m, = 207me. It decays in 10-6 seconds.Suppose there exists a molecule analogous to H (two protons + 1 electron), but with the electron replacedby a muon:(a) Find the equilibrium separation of the nuclei (Ro) in such a molecule.(b) If a rotational state is excited, estimate the wavelength of the emitted radiation in the transition to theground state.

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Answered: Molecules can rotate as rigid bodies.…

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