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I have to find the expectation values ofxpandpxfornth energy eigenstate in the 1-d harmonic oscillator. If I know <xp> I can immediately find <px>since [x,p]=ih. I use the ladder operators [tex]a_{\pm}=\tfrac1{\sqrt{2\hslash m\omega}}(\mp ip+m\omega x)[/tex] to find <xp>, but I get a complex value, <xp>=ih/2. It doesn't seem right in the context of the rest of the exercise...

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# Homework Help: Expectation value, harmonic oscillator

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