1. The problem statement, all variables and given/known data The operators P and Q are self-adjoint and satisfy the commutation relation [P,Q]=ic where c is a real number. Show that the operator [P,Q] is anti-self-adjoint, that is , that the adjoint of the operator is the negative of the operator, consistent with the right-hand side of the equation. 2. Relevant equations 3. The attempt at a solution I know a self-adjoint operator Q*=Q where * represents the dagger. [P,Q]=(PQ-QP)*phi=ic=0=PQphi-QPphi= PQ*phi-Q*Pphi=0?