Question

Problem 4.15 A hydrogen atom starts out in the followinglinearcombination of the stationary states n = 2, l=1, m = -1:

ψ(r,o) = (1/√2) ( ψ 211 +ψ 21-1 )

(a) Construct ψ (r,t). Simplify it as muchas youcan.

(b) Find the expectation value of thepotentialenergy, <V>. (Does it depend on t?) Give both theformula andthe actual number, in electron volts.

(c) What possible values of energy couldyoumeasure and with what probability(s)?

(d) What possible values of the magnitudeoforbital angular momentum could you measure and withwhatprobability(s)?

(e) What possible values ofthez-component of orbital angular momentum could you measure andwithwhat probability(s)?