(4). (20 points). A rigid rotor is in a state whose eigenfunction is Y5,400,0) (where we represent the eigenfunction by

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4 20 Points A Rigid Rotor Is In A State Whose Eigenfunction Is Y5 400 0 Where We Represent The Eigenfunction By 1 (39.48 KiB) Viewed 58 times

(4). (20 points). A rigid rotor is in a state whose eigenfunction is Y5,400,0) (where we represent the eigenfunction by a spherical harmonic of the form is Ylm(0,0)). (hint: you don't need to construct the actual wavefunction to answer this question). (a). What is the rotational energy of the rotor? (Give your answer in terms of the moment of inertia (1) and h). (b). What is the magnitude of the total angular momentum of the rotor (.e. what is the magnitude of L? in units of h)? (c). What is the magnitude of the 2-component of the angular momentum (i.e. what is the magnitude of L, in units of h)? (d). Determine the eigenvalue of (2} + L3) for Ys4(0,0)