Consider the Pauli matrices o, = ( ), o=(6) 1 %3D %3D (a) Verify that o? = o; = o? = 1, where I is a unit matrix %3D %3D 1=(; ;) (b) Calculate the commutators[0,, 0y] , [Ox, 0z] and[0y, 0z]. (c) Calculate the anticommutator o0y + OyOx
Consider the Pauli matrices o, = ( ), o=(6) 1 %3D %3D (a) Verify that o? = o; = o? = 1, where I is a unit matrix %3D %3D 1=(; ;) (b) Calculate the commutators[0,, 0y] , [Ox, 0z] and[0y, 0z]. (c) Calculate the anticommutator o0y + OyOx
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