The intrinsic, or spin, angular momentum operators, Sx, Sy, Sz, and $2 obey the samecommutation 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+].

The required solution is following

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+].