Question: (a) If are Hermitian operators, prove that their product is Hermitian if and only if commute. (b) If are Hermitian, pove that + is Hermitian.

(a) If are Hermitian operators, prove that their product is Hermitian if and only if commute.
(b) If are Hermitian, pove that + is Hermitian. The operator + is called the anticommutator of .
(c) Is Hermitian?
(d) Is Hermitian?

A and B A and B A and B

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