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Problem 2.7 A particle in the infinite square well has the initial wave function
JAx,
У (х, 0) —
0< x < a/2,
a/2 < x < a.
А (а — х),
(a) Sketch ¥ (x, 0), and determine the constant A.
(b) Find ¥(x, t).
(c) What is the probability that a measurement of the energy would yield the value E1?
(d) Find the expectation value of the energy, using Equation 2.21.21

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