Q2) Consider two particles one S₁ has spin 1/2, and the other S₂ has spin 1. They interact with each other and couple to an external field B = B2 with the Hamiltonian: H = −ys₁ S₂+B(S+3S) (a) What are the energies and their degeneracy if B=0? (b) What are the (Lande) g factors for the manifolds you found in (a)? (c) What are the energies if y = 0. (d) Numerically plot the energies of all six states as a function of magnetic field. Use y = 1,0 < B < 5.

Q2) Consider two particles one S₁ has spin 1/2, and the other S₂ has spin 1. They interact with each other and couple to an external field B = B2 with the Hamiltonian: H = −ys₁ S₂+B(S+3S) (a) What are the energies and their degeneracy if B=0? (b) What are the (Lande) g factors for the manifolds you found in (a)? (c) What are the energies if y = 0. (d) Numerically plot the energies of all six states as a function of magnetic field. Use y = 1,0 < B < 5.