External fields (such as those generated by a laser) can couple electronic states together. By a well-chosen laser pulse, an H atom is created in an equal superposition of the 1s and 2p0 states.

(a) In terms of ψ1sand ψ2p0 , write the total wavefunction, including normalization. (You need not write out the specific form of the two basis states.)

(b) Determine the possible value(s) of the square of the total angular momentum.

(c) Determine the possible value(s) of the z-component of the angular momentum.

(d) Determine the average value of the square of the total angular momentum.

(e) Determine the average value of the z-component of the angular momentum