Choose the right answer or answersmultiple answers might be

Choose the right answer or answers-multiple answers might be true. List all answers that you consider to be true. No explanations are required. (a) The total spin quantum number S for four spin s = 1/2 particles can take on the values (1) plusminus1/2,plusminus3/2,plusminus5/2 (2) 1/2,3/2,5/2 (3) 0,plusminus1,plusminus2 (4) 0,1, 2 (5) 0 (6) none of the above (b) The following state is totally symmetric: (1) the triplet spin state of two electrons (2) the singlet spin state of two protons (3) the joint orbital angular momentum state of three l = 1 electrons for a total L = 3, |1,1,1;3,+3>= |1;+1> |1;+1> |1;+1> (4) the spatial component of an excited state of helium, |100> |200> -|200> |100> (5) none of the above (c) Optional Bonus Problem: The following Clebsch-Gordan coefficient is zero, [bonus +2*] (1) C_+1/3+1/21^1/21/20 (2) C_-1/2+1/20^1/21/20 (3) C_+1/2+1/21^1/21/21 (4) C_-1/2+1/20^1/21/21 (5) none of the above

Solution

a)

Total spin is 0,1,2

option 4

b)

option 2