- #1
Ryomega
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Homework Statement
Show that linear combinations A-iB and A+iB are not hermitian if A and B (B≠0) are Hermitian operators
Homework Equations
Hermitian if: A*=A
Hermitian if: < A l C l B > = < B l C l A >
The Attempt at a Solution
So I've seen this question everywhere but not the solution to it.
I get that the solution isn't (A+iB)* = (A*+i*B*) = (A*-iB*) (since i*=-i)
So that's not helping me prove all its non-hermitianess, but it doesn't seem right since if I changed the order of the Hermitian:
< +iB l C l A > ≠ < A l C* l -iB >
Is that where I should be going with this? Or am I completely going wrong?
I know it's against the rules, but could someone show me the solution? I've been stuck on this for an entire day now and I'm fed up.
Thanks a lot!