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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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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