Hi guys, I'm not sure how to evaluate this inner product at step (3.8)(adsbygoogle = window.adsbygoogle || []).push({});

I know that:

##\hat {H} |\phi> = E |\phi>##

[tex] <E_n|\frac{\hat H}{\hbar \omega} + \frac{1}{2}|E_n> [/tex]

[tex] <E_n| \frac{\hat H}{\hbar \omega}|E_n> + <E_n|\frac{1}{2}|E_n> [/tex]

I also know that ##<\psi|\hat Q | \psi>## gives the average value of observable to ##\hat Q##. In this case, it's not ##\psi## but ##E_n##, does the same principle hold?

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# Inner Product in this step of the working

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