If we use the column vector representation of the various spin eigenstates above, then we can use the following representation for the spin operators: You can verify that this is a good representation...If we use the column vector representation of the various spin eigenstates above, then we can use the following representation for the spin operators: You can verify that this is a good representation of the spin operators by making sure that all all of the various observations about spin states are reproduced by using these operators and these vectors to predict them from the theory.
