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+].
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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