(a) Show that the average value of x2 in the one-dimensional infinite potential energy well is L2 (1/3 − 1/2n2 π 2). You may need the integral ∫ 𝑢2sin2(𝑢)𝑑𝑢 =𝑢36− (𝑢24−18) sin(2𝑢) −𝑢4cos(2𝑢).(b) Using your answer from part (a) and the average value of x in the one-dimensional infinite potential energy well from Example 5.4 of your textbook, determine the position uncertainty ∆𝑥.(c) What is the average value of p in the one-dimensional infinite potential energy well(Use a symmetry argum
(a) Show that the average value of x2 in the one-dimensional infinite …
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