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20. In Sec. 3.7, the standard deviation o of a set of N measure- ments of some quantity x was defined as [A + CO] i=1 (a) Show thať, in terms of expectation values, this formula can be written as

20. In Sec. 3.7, the standard deviation o of a set of N measure- ments of some quantity x was defined as [A + CO] i=1 (a) Show thať, in terms of expectation values, this formula can be written as

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20. In Sec. 3.7, the standard deviation o of a set of N measure- ments of some quantity x was defined as [A + CO1 i=1 (a) Show that, in terms of expectation values, this formula can be written as = %3D (b) If the uncertainty in position of a particle in a box is taken as the standard deviation, find the uncertainty in the expectation value (x) = L/2 for n = 1. (c) What is the limit of Ax asn increases?
Transcribed Image Text:20. In Sec. 3.7, the standard deviation o of a set of N measure- ments of some quantity x was defined as [A + CO1 i=1 (a) Show that, in terms of expectation values, this formula can be written as = %3D (b) If the uncertainty in position of a particle in a box is taken as the standard deviation, find the uncertainty in the expectation value (x) = L/2 for n = 1. (c) What is the limit of Ax asn increases?
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