A particle of mass m in the infinite square well (of width a) starts out in the left half of the well, and is (at t = 0) equally likely to be found at any point in that region.
(a) What is its initial wave function, ψ(x, 0)? (Assume it is real. Don't forget to normalize it.)
(b) What is the probability that a measurement of the energy would yield the value π2 ħ2/2ma2?
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