Compatible Observables occur when commutator is equal to 0. [Â,B̂] = ÂB̂ - B̂ Constant of Motion ------------------ if d/dt  = 0 and [Ĥ,Â] = 0, where Ĥ is the Hamiltonian operator. then  is a constant of motion Thm: Two operators such that [Â,B̂] always have common Eigenstates