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## Homework Statement

Show that Lx is a Hermitian operator

## Homework Equations

Well, since Lx is an observable it must be represented by an Hermitian operator.

[tex] L = -i\cdot\hbar\cdotr\times\nabla [/tex]

If an operator is Hermitian, then it's equal to it's Hermitian conjugate

## The Attempt at a Solution

I do realise what I have to do, however there are holes in my math.

So in order to show that the Lx operator is Hermitian I could show that:

[tex] < L_{x} f | f > = < f | L_{x} f > [/tex] is that correct?

If I assume that's correct and since [tex] < L_{x} f | f > = (< f | L_{x} f >)^* [/tex] I have a complex conjugate missing somewhere. Thus there is an error