Solving to prove that an operator is Hermitian

[mduer717]

I have a few operators here, and was wondering how to go about proving whether or not they are Hermitian:

a) ix^2
b) e^x
c) 3x + P_hat/2
d) x^2*P_hat
e) ix*P_hat

 

[dextercioby]

1. What are the assumptions for all 5 cases ?
2. Show us some work, so we can see where you need help.