Science/Math

A hydrogen atom is initially in the superposition state

a) What are the possible results of a measurement of the energy and with what probabilities would they occur? Plot a histogram of the measurement results. Calculate the expectation value of the energy.

b) What are the possible results of a measurement of the angular momentum operator L₂ and with what probabilities would they occur? Plot a histogram of the measurement results. Calculate the expectation value of L₂ .

c) What are the possible results of a measurement of the angular momentum component operator L_z and with what probabilities would they occur? Plot a histogram of the measurement results. Calculate the expectation value of L_z.

d) How do the answers to (a), (b), and (c) depend upon time?

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