An electron is in the spin state
χ=A(3i4).
(a) Determine the normalization constant A.
(b) Find the expectation values of Sx, Sy, and Sz.
(c) Find the "uncertainties" σSx, σSy, and σSz. Note: These sigmas are standard deviations, not Pauli matrices!
(d) Confirm that your results are consistent with all three uncertainty principles (Equation 4.100 and its cyclic permutations—only with S in place of L, of course).