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•• (a) Write down and sketch the probability distribution |ψ(x)|2 for the second excited state (n = 3) of a particle in a rigid box of length a. (b) What are the most probable positions, xmp? (c) What are the probabilities of finding the particle in the intervals [0.50a, 0.51a] and [0.75a, 0.76a]?
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