An electron is in the spin state(a) Determine the normalization constant A.(b) Find the ex...

An electron is in the spin state

(a) Determine the normalization constant A.

(b) Find the expectation values of Sx, Sy, and Sz.

(c) Find the "uncertainties" ,, and  (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).