4) A particle of spin 1/2 is in a d state of the orbital angular momentum.
a) Workout the spin-orbit coupling of this particles, and find all states and
the corresponding Clebsch- Gordon Coefficients.
b) If its Hamiltonian is given by
H = a + b(L.S) + cL^2
where a, b, and c are numbers. Find the energy levels and their degeneracy