Question 5;

Problem 5 (12 points) Consider a spin-1 particle with mass m, charge q, and g-factor, g. Throughout this problem, the particle is initially prepared in a state () about which we know that a measurement of the z-projection of angular momentum has equal probability of yielding the values h , 0, and - h . (Note that this does not fully specify w) ). (a) Determine the largest and the smallest possible values of (S) for such a state. (4 points) In the following two questions a magnetic field B is applied along the 2-axis. (b) Describe why this does or does not affect the probabilities for the outcome of a measurements of S. . (4 points) (c) Determine the time dependence of (S ) when the initial state y) maximizes (S,) within the constraints described above. (4 points)