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Unformatted text preview: H = 1 2 m p 2 + 1 2 m 2 x 2 . a) Show that the function = Aex 2 is an eigenfunction of H for a particular . What must be? What are its units? b) What is the eigenvalue of H that corresponds to ? c) Show that x is also an eigenfunction of H . What is its eigenvalue? d) Compute x and p for the state in c). Compare the x p product with that of . (Hint: Note that some of the same integrals appear multiple times here. Also, be careful about normalization.)...
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 Spring '09
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