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Proving the COMMUTATOR relation [S^2,Sz] = 0 = [S^2,Sx] = [S^2,Sy] - [Quantum Mechanics Tutorial In this video, I give a step by step proof of the commutator relation [S^2,S_z]=[S^2,S_x]=[S^2,S_x]=0 for the spin operators. The required commutation relations between the spin matrices S_x. S_y and S_z, and the generic properties of the commutators in quantum mechanics have been written, proved and explained as needed. This makes the video self sufficient in all respects. In the end, I explain an important physical consequence of these commutation relations. I also give a remark on the connection of these with the similar relations for the orbital angular momentum operators. SPIN Angular Momentum Operators and Commutation Relations SPIN Angular momentum operators are also described in Classical Mechanics but in quantum mechanics they can not be computed simultaneously. Commutation relations are described here in details. Ladder Operators | It's Relation with SPIN Angular Momentum in hindi SPIN Angular momentum operators and their algebra SPIN Angular momentum operator : commutation relationship and ladder operators LADDER OPERATORS | COMMUTATION RELATIONS OF LADDER OPERATORS | QUANTUM MECHANICS | WITH EXAM NOTES #ladderoperators #quantummechanics #ladder #operator #operators #commutationrelation #commutatoralgebra #commutatoroperator #angularmomentum #commutationrelation #angularmomentumoperator #commutator #commutators #commutatoralgebra #commutatoroperator #angularmomentum #quantummechanics #spinangularmomentum