Question

If A, B and C are Hermitian operators, determine if the following combinations are Hermitian: 1 A + B 2 1 2i [A, B] 3 (ABC − CBA) 4 A 2 + B 2 + C 2 5 (A + iB) 

Answer 1

Answer

Any operator said to be hermitain only when

$A^+=A$

Therefore here option 1,2,4 said to hermitian follows the above condition.

All other are not hermitain.