a spin-3/2 particle (25 marks): consider a particle with spin angular momentum j- j. there are four sublevels with this value of j, but different eigenvalues of " 1m 3/2),im = 1/2), im = -1 /2), irn =-3/2). n) show that the raisce i b) what is the lowering operator j? c) what are the matrix representations of j , and which of these operators are hermitian the j, basis? state and show d) check that the state le) _ 2 (v313/2) +11/2)-1-1/2)-v31-3/2)) is an eigeustate of ja with eigenvalue h/2