Modern Physics
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 6, Problem 13E
To determine

To Show: ψ(x)=A'eikx+B'eikx is equivalent to ψ(x)=Asin(kx)+Bcos(kx) .

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Verify that y = sin x, y = cos x, y = eix, and y = e−ix are all solutions of y'' = −y.
Consider the electron in a hydrogen atom is in a state of ψ(r) = (x + y + 3z)f(r).where f(r) is an unknown function depending only on r.(a) Is ψ an eigenstate of Lˆ2? Find the eigenvalue if your answer is ’Yes’.(b) Compute the probabilities of finding this electron in eigen states with m = −1, 0, +1. (c) Compute <Lz> in this state.
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