Problem 4.15 A hydrogen atom starts out in the followinglinear combination of th

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Problem 4.15 A hydrogen atom starts out in the followinglinear combination of the stationary states n = 2, l= 1, m = -1: (r,o) = (1/2) ( 211 + 21-1 ) (a) Construct (r,t). Simplify it as muchas you can. (b) Find the expectation value of the potentialenergy, <V>. (Does it depend on t?) Give both the formula andthe actual number, in electron volts. (c) What possible values of energy could youmeasure and with what probability(s)? (d) What possible values of the magnitude oforbital angular momentum could you measure and with whatprobability(s)? (e)  What possible values of thez-component of orbital angular momentum could you measure and withwhat probability(s)? Problem 4.15 A hydrogen atom starts out in the followinglinear combination of the stationary states n = 2, l= 1, m = -1: (r,o) = (1/2) ( 211 + 21-1 ) (a) Construct (r,t). Simplify it as muchas you can. (b) Find the expectation value of the potentialenergy, <V>. (Does it depend on t?) Give both the formula andthe actual number, in electron volts. (c) What possible values of energy could youmeasure and with what probability(s)? (d) What possible values of the magnitude oforbital angular momentum could you measure and with whatprobability(s)? (e)  What possible values of thez-component of orbital angular momentum could you measure and withwhat probability(s)?

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