(a) If Sz of a particle with spin quantum number s is measured, what are the possible outcomes?
(b) If Sx of a particle with spin quantum number s is measured, what are the possible outcomes?
(c) In the statistical-ensemble interpretation of quantum mechanics (Section 7.9), all properties of a particle have precise values at all times. Consider the relation S2 = S2x + 2y + S2z between a particle's spin magnitude and its spin components. For each of the spin quantum number values s = 1/2, s = 1, and s = 3/2, examine whether S2 = S2x + S2y
+ S2z can be obeyed with all of the four quantities S2, Sx, Sy, and Sz simultaneously having experimentally observable values.