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UCLphysics
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Homework Statement
a)For a general operator A, show that and i(A-A+) are hermitian?
b) If operators A and B are hermitian, show that the operator (A+B)^n is Hermitian.
Homework Equations
The Attempt at a Solution
The first part I did,
(A+A+)+=(A++A)=(A+A+)
i(A-A+)=[i(A-A+)]+=(iA)+-(iA+)+)=i(A-A+)
The second part I used binomial expansion (induction) but I was told they do not commute so this cannot be done?
Is my answer to the first part correct and what route should I take for the second? Thanks