The uncertainty principle tells us that ⟨ ( x ^ ^ − − x 0 ) 2 ⟩ ⟨ p ^ ^ 2 ⟩ ≥ ≥ ℏ ℏ 2 , making the expectation values of the kinetic and potential terms above satisfy ⟨ 1 2 k ( x ^ ^ − − x 0 ) 2 ⟩ ⟨ 1 2 m p ^ ^ 2 ⟩ ≥ ≥ ( ℏ ℏ 4 ) 2 k m .