armis
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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.
L = -i\cdot\hbar\cdotr\times\nabla
If an operator is Hermitian, then it's equal to it's Hermitian conjugate
The Attempt at a Solution
I do realize 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:
< L_{x} f | f > = < f | L_{x} f > is that correct?
If I assume that's correct and since < L_{x} f | f > = (< f | L_{x} f >)^* I have a complex conjugate missing somewhere. Thus there is an error