which are of similar form of J z | 1 , + 1 ⟩ ⟩ = + ℏ ℏ | 1 , + 1 ⟩ ⟩ J z | 1 , 0 ⟩ ⟩ = 0 | 1 , 0 ⟩ ⟩ J z | 1 , − − 1 ⟩ ⟩ = − − ℏ ℏ | 1 , − − 1 ⟩ ⟩ J + | 1 , + 1 ⟩ ⟩ = 0 J + | 1 , 0 ⟩ ⟩ = 2 ℏ ℏ | 1 , + 1 ⟩ ⟩ J + | 1 , − − 1 ⟩ ⟩ = 2 ℏ ℏ | 1 , 0 ⟩ ⟩ J − − | 1 , + 1 ⟩ ⟩ = 2 ℏ ℏ | 1 , 0 ⟩ ⟩ J − − | 1 , 0 ⟩ ⟩ = 2 ℏ ℏ | 1 , − − 1 ⟩ ⟩ J − − | 1 , − − 1 ⟩ ⟩ = 0