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## Homework Statement

We have a hermitian operator Q and a complex number z. I have an inner product given by:

<f | (zQ) g>,

where f and g are two arbitrary functions. Now taking the hermitian conjugate of a complex number is just taking the complex conjugate of that number. So taking the hermitian conjugate of the above gives me:

<(zQ)

^{H}f | g> = <z

^{*}Q

^{H}f | g> = z<Q

^{H}f | g> = z<Qf | g>

According to my book, this is wrong, because I should end up with z

^{*}in front of the inner product, and not z. Where is my reasoning wrong?

Thanks in advance.

Sincerely,

Niles.