Problem #5- 20 PTS The Hamiltonian of a two-electron system is perturbed by an interaction as-. wm an constant and S, and S2 are the spin operators for the electrons. > Calculate the energy splitting (the difference) between S =0 (singlet) and S= 1 (triplet) states by first order perturbation, where S is the magnitude of the total spin. %3D 0,(a-B)=-(a- ), 0,(a - iB) = -(a-if). (7) the eigenfunctions of o, and o, are The cigenvalues follow from inspection of obtained from the definlt