The intrinsic, or spin, angular momentum operators, Sx, Sy, Sz, and $2 obey the same commutation relationships as the orbital angular momentum operators, Ix, Ly, Lz, and 1². Use this fact to evaluate the following. Note: Szla) = (h)|a) and S₂B) = -ħ|B). (a) [Sx, Sy + S₂] (b) Define S+= Sx ± iŝy, then evaluate [S²,S+] (c) Using the same definition for S+, evaluate [S₂,S+].
The intrinsic, or spin, angular momentum operators, Sx, Sy, Sz, and $2 obey the same commutation relationships as the orbital angular momentum operators, Ix, Ly, Lz, and 1². Use this fact to evaluate the following. Note: Szla) = (h)|a) and S₂B) = -ħ|B). (a) [Sx, Sy + S₂] (b) Define S+= Sx ± iŝy, then evaluate [S²,S+] (c) Using the same definition for S+, evaluate [S₂,S+].
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![The intrinsic, or spin, angular momentum operators, Sx, Sy, Sz, and $2 obey the same
commutation relationships as the orbital angular momentum operators, Ix, Ly, L₂, and 1².
Use this fact to evaluate the following. Note: Szla) = (h)|a) and S₂B) = -ħ|B).
(a) [Sx, Sy + S₂]
(b) Define S+= Sx ± iŝy, then evaluate [S²,S+]
(c) Using the same definition for S+, evaluate [S₂,S+].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd76a2d57-02e6-4734-ba8a-6fadc8c476a5%2F8ce39f38-ff99-453d-bbd8-58ea5a51d50e%2Fo6y59u8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The intrinsic, or spin, angular momentum operators, Sx, Sy, Sz, and $2 obey the same
commutation relationships as the orbital angular momentum operators, Ix, Ly, L₂, and 1².
Use this fact to evaluate the following. Note: Szla) = (h)|a) and S₂B) = -ħ|B).
(a) [Sx, Sy + S₂]
(b) Define S+= Sx ± iŝy, then evaluate [S²,S+]
(c) Using the same definition for S+, evaluate [S₂,S+].
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