Problem

(a) Prove that for a particle in a potentialV(r) the rate of change of the expectation val...

(a) Prove that for a particle in a potentialV(r) the rate of change of the expectation value of the orbital angular momentum L is equal to the expectation value of the torque:

Where

(This is the rotational analog to Ehrenfest's theorem.)


(b) Show that  for any spherically symmetric potential. (This is one form of the quantum statement of conservation of angular momentum.)

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