Consider a spin-1 particle with no orbital degree of freedom. Let H = S + aS + S - S, where Sx = 1/√2 (S+ + S-), with a < 1.
A. Use degenerate perturbation theory to calculate the energy shift to the first order in α. (8 points)
B. Use degenerate perturbation theory to calculate the energy shift to the second order in α. (12 points)
C. Compare the above results with the exact answers. (5 points)