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.
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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