V.) spin coupling: Given two particles with spin 1, Le. they have spin quantum numbers 31 = 1 and 32 = 1. a) Give the possible eigenvalues for the square of the total spin. b) Give the eigenstates for the total spin squared and the z-component of the total spin. C) For a total spin quantum number 8 = 2, list all the multiplets in the basis of single particle spins. For remembrance: ssm) = h[s(s + 1) m(m :l: 1)]'lsm i 1)