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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![Consider the Pauli matrices
0, = (
1
%3D
Oy
(a) Verify that o? = o3 = o? = 1, where I is a unit matrix
(b) Calculate the commutators[0, 0,]. [0x, o2] and[0y,0z].
(c) Calculate the anticommutator o0y + OyOx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09dc543f-41bc-4f56-8350-eee2bd6f281b%2F74a6b1ab-38ab-47dd-90a8-973c5911d06a%2Ft4zus2o_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the Pauli matrices
0, = (
1
%3D
Oy
(a) Verify that o? = o3 = o? = 1, where I is a unit matrix
(b) Calculate the commutators[0, 0,]. [0x, o2] and[0y,0z].
(c) Calculate the anticommutator o0y + OyOx
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