Use (7.113) and (5.8) to show that From (7.114) it follows that Use (7.113), (5.9), and (4.24)
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From (7.114) it follows that
Use (7.113), (5.9), and (4.24) to show that
If we consider a classical-mechanical particle, its wave function will be large only in a very small region corresponding to its position, and we may then drop the averages in (7.115) to obtain Newton's second law. Thus classical mechanics is a special case of quantum mechanics. Equation (7.115) is known as Ehrenfest's theorem, after the physicist who derived it in 1927.
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