A particle in a spherically symmetric potential is in a state described by the wave packet (x, y, z) = C(xy + yz + zx)e¯ar What is the probability that a measurement of the square of the angular momentum yields 0? What is the probability that it yields 6ħ? If the value of l is found to be 2, what are the relative probabili- ties for m = 2, 1, 0, –1, –2?

A particle in a spherically symmetric potential is in a state described by the wave packet (x, y, z) = C(xy + yz + zx)e¯ar What is the probability that a measurement of the square of the angular momentum yields 0? What is the probability that it yields 6ħ? If the value of l is found to be 2, what are the relative probabili- ties for m = 2, 1, 0, –1, –2?