where | Ψ Ψ ¯ ¯ A + B ⟩ ⟩ is a unit vector orthogonal to | Ψ Ψ ⟩ ⟩ . The form of | Ψ Ψ ¯ ¯ A + B ⟩ ⟩ implies that the right-hand side of the new uncertainty relation is nonzero unless | Ψ Ψ ⟩ ⟩ is an eigenstate of ( A + B ) .