348-problem26 - Consider values of x between / 2 and / 2...

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Chem. 540 Instructor: Nancy Makri PROBLEM 26 Consider a particle in a one-dimensional square well of length L with infinite walls at 0 x = and x L = . a) Calculate the probability ( ; ) P x λ of finding the particle between / 2 x - and / 2 x + , where is a small but finite length.
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Unformatted text preview: Consider values of x between / 2 and / 2 L-only. b) What is this probability for a classical particle? c) Show that as the quantum number n becomes large, the quantum mechanical probability ap-proaches the classical result....
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