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In class, I mentioned that the derivative of an even function yields an odd function and...

In class, I mentioned that the derivative of an even function yields an odd function and that the derivative of an odd function yields an even function. Use this information and find <px> for ψ2 for a harmonic oscillator.

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Answer #1

The wave function

is an even function of x

And

is an odd function because this is a derivative of an even function

Therefore

is an odd function. Because an odd function multiplied by an even function is odd

Therefore

Because of the following property of the odd function

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