2. A spin-1/2 particle is placed in a magnetic field = 1 1 B=5By| =&~-=2 (&%) (a) Write the Schrodinger equation for this particle. (b) Find the energies and corresponding energy eigenstates. () Suppose the initials state is [1(0)) = cos 6/2| 1) + sin /2| |) (6) Find [(t)). (d) Calculate (S;) and (S,) in the state that you found in (c) for arbitrary times . Find a linear combination of these that is independent of time