What kind of question is it?

  1. In my terminal exam I was asked to prove it that the parity operation commutes with Hermitian operator? I wonder how can we show that? coz we can only show that the parity operator is hermitian? We haven't got the value of hermitian operator at all?
  2. jcsd
  3. On wave functions the parity operator acts something like


    where \eta is a phase factor independent of x. Now it should be easy to prove all the commutation relations you need.
  4. Pls Can you show it to me how?
  5. I can try, but first you have to tell me which is the operator you want to calculate the commutator with parity.
  6. Hermitian operator
  7. It's not enough. For example, P does not commute with the coordinates x or the momenta p (these anticommute with parity), but it commutes with orbital agular momentum or spin...
  8. So, wasn't the question a wrong one?
  9. If it really implied that the parity operator commutes with all Hermitian operators, then yes, it was wrong.
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