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SOLVED: 3. Derive and expression for the probability of finding particle in the first quarter of a one-dimensional box of length a. Your expression should be as a function of the quantum number n
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A particle is in the ground level of a box that extends from x = 0 to x = L. (a) What is the probability of finding the particle in the region between 0 and L/4? Calculate this by integrating |ψ(x) |^2 dx, where c is normalized, from x = 0 to x = L/4. (b) What is the probability of finding the particle in the region x = L/4 to x = L/2 ? (c) How do the results of parts (a) and (b) compare? Explain. (d) Add the probabilities calculated in parts (a) and (b). (e) Are your results in parts (a), (b),
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