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We investigate the dynamics of a rotating Morse wave packet, appropriate fora ro-vibrating diatomic molecule. The coupling between vibrational androtational degrees of freedom is explicated in real position space as well asin phase space Wigner distribution of a SU(2) coherent state at variousdynamically evolved times. We choose the well studied $I_{2}$ molecule with theparameter values in good agrement with experiments. A quantitative measure ofthe angles of rotations for different angular momenta is also given.

Rotating Morse wave packet dynamics of diatomic molecule