In this problem you are asked to use Eqs. (3.25) and (3.27) to show that the expectation
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In this problem you are asked to use Eqs. (3.25) and (3.27) to show that the expectation values of the position and momentum of a particle with mass m are related by
The method is similar to that used in the previous problem.
(a) By noting that the time dependence of the wave function is governed by the Schrodinger equation, show that
and show that this can be rewritten as
(b) Assuming that the wave function tends to zero sufficiently rapidly at x = ± ∞, show that
(c) Now integrate by parts and show that
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