Then Δ Δ A Δ Δ B ≥ ≥ 1 2 | ⟨ [ A , B ] ⟩ | 2 + | ⟨ { A − − ⟨ ⟨ A ⟩ ⟩ , B − − ⟨ ⟨ B ⟩ ⟩ } ⟩ | 2 , where [ A, B ] ≡ A B − B A is the commutator of A and B, and { A, B } ≡ A B + B A is the anticommutator.