Question 2 (8 points) Consider a system with total angular momentum .] : 1. a) What values can the :5 projection quantum number m]- take on and write down all the eigenstates in the form |j, rm) (3 points)? b) For a wavefunction IL) in the m}- : 1 state ( 1.1)) nd amt) (Hint: recall JI : 1/2(j++ LL) (3 points)? c) Now our system is coupled to a nuclear spin I : 3/2 where the total angular momentum for the Whole system is now given by F : .J + I i What are the possible values for the 2 projection quantum number mp now (2 points)