Question

Question 5 (7 marks) Consider two angular momenta Si and S, which belong to different subspac 1 and 2; satisfying the general angular momentum algebra. Given the symbolic addition S- Si+s he components of S; satisfy the commutation relations of angular momentum. 1. Show that t 2. Verify that S2 can be Written as 3. Use the above relation to show that: a) (s,s-0. b) 13,5,1-o. e) 1S, 51,140

Answer 1

are ws angular momenta operator in different s, こ ; Eyk S.* +ie..k S k- Componenk 3 sakisfes angular mementam agebra 2.5, +3 1x , 2x intuschang.ng the dummyindices in the fivt term.宀k an ani.symmerie prpert t e tensor

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