Chem. 540 Instructor: Nancy Makri PROBLEM 34 Consider the eigenstates of ˆ z S for a spin 1 2 particle. In this basis, any spin state is spe-cified by two coefficients, i.e., by a two-component vector. As usual, the vector representation of the two eigenstates themselves is simply the two vectors with coefficients 1, 0 and 0, 1 as dis-cussed in class. Thus, in this basis the matrix representation of the operator
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