54. From the states of j : g and j = % obtained by combining the states of F = l and s : % states (as done in class) (a) Determine the expectation values of L -S for the states |j = 3 [2, m; = 3 / 2), \\j = 3 [2, mj = 1 [2) and U: 1/2,mj =1/2). (b) For these states, what is probability that a measurement of S2 yields % h 55. List the possible spectral terms 2 3+1 L J resulting from the following two electron congurations (n s n' s), (n s n' p), (n s n' d) where n and n' are different :1 levels. 56. List the possible spectral terms 2 5+1 L J resulting from the following two electron congurations in the same orbitals (n s2), (n p2), (n d2)