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A particle is in the ground state of an infinite square well. The potential wall at...

A particle is in the ground state of an infinite square well. The potential wall at x = L suddenly (i.e., instantaneously) moves to x = 3L. such that the well is now three times its original size. (a) Let t = 0 be at the instant of the sudden change in the potential well. What is ψ(x, 0)?

(b) If you measure the energy of the particle in the new well, what are the possible energies?

(c) Estimate the probabilities of finding the particle to have the ground state energy of the new well and the first excited state energy of the new well. (i.e., Estimate the value of c1 and c2, then find the probabilities.) Graphs will help here. (d) Calculate the probability of finding the particle to have the ground state energy of the new well and the first excited state energy of the new well.

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